...Test Modes of Testing This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of StudyMode. This is to test the accessibility of the “Free” version of...
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...Define the following terms: Descriptive statistics is the term to describe the main or basic features of a research study. Scales of measurement is the term to describe the four scales of measurements: Nominal, Ordinal, Interval, and Ratio. Measures of central tendency is the term to describe the mean, median, and mode. Frequency distributions is the term to describe the process in dividing the groups in the research. Correlation coefficient is the term to describe the Pearson’s r (strength of the relationship between two things). Effect size is the term to describe the strength of an event. Multiple regression is the term to describe the process of the prediction of one value, based on two or more other values. How are group means, percentages, and correlations used to describe research results? Group means is used to take the responses of two or more groups, and find the “middle ground” between them. Utilizing group percentages means that the researcher takes the number of participants and turns that into a percentage for descriptive purposes. Individual correlations are utilized when the researcher compares the individual based on two variables in the study. (Cozby, 2009) How can graphs be used to describe and summarize data? The researcher can put the gathered information together a graph, making it easier for the reader to understand the outcome of the study, visually. A researcher is studying reading rates in milliseconds per syllable. What scale...
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...Median, Mode New Statistical Notation • Σ : sigma – The symbol Σ means to sum (add) the scores Central Tendency What Is Central Tendency? • A score that indicates where the center of the distribution tends to be located. • Tells us about the shape and nature of the distribution. d b Measures of Central Tendency • Mode • Median • Mean The Mode • The most frequently occurring score. • Typically useful in describing central tendency when the scores reflect a nominal scale of measurement. l f The Mode • It does not make sense to take the average in nominal data. – Gender: 67 males --- 1 50 females ---- 2 14 13 14 14 10 15 13 12 17 15 13 14 11 14 14 15 13 15 Score S 17 16 15 14 13 12 11 10 f 1 0 4 6 4 1 1 1 What is the mode? N=18 Unimodal Distributions When Wh a polygon h l has one hump (such as on the normal curve) the distribution is called unimodal. 14 15 15 14 10 15 13 12 17 15 13 12 11 12 15 12 13 12 Score S 17 16 15 14 13 12 11 10 f 1 0 5 2 3 5 1 1 What is the mode? N=18 Bimodal Distributions When distribution Wh a di ib i has two scores that are most frequently occurring, it is called d bimodal. Example Score S 7 6 5 4 3 2 1 f 1 4 5 4 6 7 9 N=36 What is the mode? Uses of The Mode • In nominal data – Since we cannot use mean or median • Also in ordinal, interval or ratio data, along with mean and median ih d di Problems with The Mode • Gives...
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...classifying a central position within the set of data is known as the measure of central tendency. The central tendency is distinguish with its dispersion or in other words the variability. It is important to summarize a set of data with a single value of data when interpreting and analyzing data, as it serves the purpose and give a representative value for the overall data. The most common measures of central tendency are the arithmetic mean, the median and the mode. A central tendency can be calculated for either a finite set of values or for a theoretical distribution, such as the normal distribution. Occasionally authors use central tendency to denote "the tendency of quantitative data to cluster around some central value." [1][2] Mean: It is also known as the arithmetic average, mean is the sum of value of all the observation in a set of data divided by the total number of the observations. Median: when values are arranged in a descending or ascending order, the middle value in the distribution is known as the median. Mode: It is the most repeated or commonly occurring value in the distribution. [1] Dodge, Y. (2003) The Oxford Dictionary of Statistical Terms, OUP for International Statistical Institute. ISBN 0-19-920613-9 (entry for "central tendency") [2]Upton, G.; Cook, I. (2008) Oxford Dictionary of Statistics, OUP ISBN 978-0-19-954145-4 (entry for "central tendency") * Purpose Of Calculating Central Tendency * It is very useful to calculate the average. ...
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...The key mathematical ideas behind standardised tests All standardised test scores are based on the theory that a candidate’s score can be compared with the scores of others who have previously completed a test (based on a standardised sample). The scores of the candidates who previously undertook the test can be plotted in a graph that will resemble a “normal” curve. (DISCUSS PECENTILES AND STANDARDS SCORES ETC). The various forms of averages and how they are calculated Mean The mean is calculated by adding up all the numbers in a dataset and then dividing that by the number of values in that dataset. An example is given below of a dataset of six students and their test scores out of 20: S1 S2 S3 S4 S5 S6 Total Divided by: Mean 18 16 17 13 14 19 97 6 16.17 In order to find the mean test score, the total amount scored (97) is divided by the number of students (6) which equals 16.17. The formula for calculation the mean is as follows: _ X is the symbol for the mean and is referred to as bar X (ex) Σ is the Greek symbol sigma and simply means sum or add up X refers to each of the individual values that make up the dataset n is the number of values that make up the dataset The use of mean is effective when the values of the dataset are evenly spread with no extreme high or low values. If the dataset does contains one or two extremely high or low values the result will be adversely affected by this. An example of this is given below, where...
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...Please highlight (like I just did) the correct answer and upload the entire document to the Assignments link by the due date in the syllabus. This is the only version of the assignment that will be graded. Do not use the matching shown on the Materials tab page for Week 5! 1 Which of the following shapes best represents a normal distribution as it is depicted graphically? A. Square B. Bell C. Triangle D. Star E. Hat For questions 2 through 4, consider the following array of numbers: 5 6 7 7 7 8 8 9 9 9 10 15 19 20 21 2. In the array provided, what is the mode? A. 7 B. 9 C. 10 D. 15 E. Both A and B 3. In the array provided, what is the median? A. 7 B. 9 C. 10 D. 15 E. Both A and B 4. In the array provided, what is the mean? A. 7 B. 9 C. 10 D. 15 E. Both A and B 5. The difference between the smallest and the largest values in a distribution is the _____. A. mean B. median C. mode D. range E. deviation 6. Which of the following is a bar chart arranged in increasing order by size? A. Control chart B. Simple bar chart C. Pareto diagram D. Histogram 7. Which of the following hypotheses is a null hypothesis? A. There is no difference in the monthly grocery bills of families with one child and families with two children B. Grocery bills vary according to the number of meals eaten outside the home C. Families with two children have significantly higher grocery bills than families with just one child D. There is a relationship between...
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...STATISTICS TEST Length: 1090 words (3.1 double-spaced pages) Rating: Red (FREE) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Statistics are necessary for scientific research because they allow the researchers to analyze empirical data needed to interpret the findings and draw conclusions based on the results of the research. According to Portney and Watkins (2009), all studies require a description of subjects and responses that are obtained through measuring central tendency, so all studies use descriptive statistics to present an appropriate use of statistical tests and the validity of data interpretation. Although descriptive statistics do not allow general conclusions and allow only limited interpretations, they are useful for understanding the study sample and establishing an appropriate framework for the further analysis in the study. Further analysis using appropriate statistical methods allows the researchers to establish correlations between independent and dependent variables, define possible outcomes, and identify areas of potential study in the future accurately. Statistics is important for researchers because it allows them to investigate and interpret the data more accurately, and researchers will notice patterns in the data that would be overlooked otherwise and result in inaccurate and possibly subjective conclusions (Portney &ump; Watkins, 2009). Frequency distribution is a method used in descriptive statistics to arrange...
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...1. What was your score on the Perceptual Organization Test? The score on my Perceptual Organization Test was an 8 out of 10. _ 2. What was the range (R), median (Md), and mean (X) for the males in the class. Range: 10 – 3 = 7 The range for males was equal to 7. Median: 3,3,3,5,6,6,6,6,6,7,7,8,10,10 6+6 = 12 12/2 = 6 The median for the males was 6. Mean: 3+3+3+5+6+6+6+6+6+7+7+8+10+10 = 86 86/14 = 6.14 The mean for the males was 6.14. 3. What was the range (R), median (Md), and mean (X) for the females in the class. Range: 10 – 3 = 7 The range for females was equal to 7. Median: 3,4,5,5,6,6,6,6,7,8,8,9,9,9,9,10 6+7 = 13 13/2 = 6.5 The median for females was 6.5. Mean: 3+4+5+5+6+6+6+6+7+8+8+9+9+9+9+10 = 110 110/16 = 6.875 The mean for males was 6.88. 4. How did your score compare to others of your gender? For example, how much above or below the median and mean was your score? Be specific. My score compared to others of my gender was higher for both median and mean. For the median my score was higher by 1.5 and for the mean it was higher by 1.12. 5. Was there any difference in the way males and females scored on this test? Be specific. If so, how might you account for this? There was a difference in in the way the males scored compared to the females on this test. The males scored lower in both median and mean compared to the females. To account for this I would show how...
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...Definitions Matching Assignment Match the letter of the definition on the right to the appropriate symbol on the left. |Symbols |Definitions | |( (Uppercase Sigma) B.__ |Null hypothesis | |( (Mu) H.___ |Summation | |( (Lowercase Sigma) E.___ |Factorial | |( (Pi) I.___ |Nonparametric hypothesis test | |( (Epsilon) G.__ |Population standard deviation | |(2 (Chi Square) D.___ |Alternate hypothesis | |! C.___ |Maximum allowable error | |H0 A.__ |Population mean | |H1 F.__ |i. Probability of success in a binomial trial | Match the letter of the term...
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...1.The advertised prices for 10 used cars were as follows: 10495, 15886, 10900, 19500, 9950, 13000, 15900,16000, 14800, 13500 a. Determine the average price The average price (Mean) =(10495+15886+10900+19500+9950+13000+15900+16000+14800+13500)/10 Mean = 139931/10 = 13993.1 The average price = 13993.1 b. Determine the median car price 9950 ,10495 , 10900 , 13000 , 13500 ,14800 ,15886 ,15900 ,16000, 19500 Median = (13500+14800) /2 =14150 2.An auctioneer sold 500 lots of restaurant equipment as follows # of lots 200 150 60 50 40 500 price per lotweighted price 20 4000 22 3300 28 1680 30 1500 50 2000 150 12480 Total Compute the average price per lot 12480 / 500 =25 Do not round to closest dollar The average price per lot is $ 25 3.If the arithmetic mean of 22 observations is 553, what will be the mean if one of the values changed from 959 mean= 553 for 22 observations mean =( x+959 )/ 22 = 553 so after solving we find that x = 11207 New mean = (11207 +453) / 22 = 530 The new mean would be 530 4.The mean of 10 numbers is 177. Nine of the numbers are as follows: 58 82 47 23 15 a) Determine the value of the missing number (58+82+47+23+15+79+36+61+25 +x )/10 = 177 to solve the equation first I will add the nine numbers togother = 426 $ 24.96 so (426+x)/10 = 177 now 177*10 = 1770 and will move the 426 to the other side as a minuse so that will be x = 1770-426 so x is 1344 The value for the missing number is 1344 ...
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...Please make sure that you give a COMPLETE response to all DQs asked, IN YOUR OWN WORDS (minimum 200, excluding citations), along with proper CITATIONS. If any of these are missing, you will not get full points for DQs. Your follow up posts should be at least 100 words, and MUST be in your own words. Textbook: Grove, S. K. (2007). Statistics for health care research: A practical workbook. Edinburgh: Elsevier Saunders. Topic 1 DQ 1: How can graphics and/or statistics be used to misrepresent data? Where have you seen this done? Statistics are used everywhere, every day to represent a multitude of data, or study sample. Sample characteristics are the traits that depict the study sample and can be portrayed in either some type of table or in an article (Grove, 2007). “Descriptive statistics are used to generate sample characteristics, and the type of statistic used depends on the level of measurement or the demographic variables included in the study” (Grover, 2007, p.75). It is this information and data that is presented can be misrepresented, either unethically or simply because the data is misunderstood. According to Statistics (2013), data can be misrepresented three ways: 1) misunderstanding the data presented, 2) using incomparable definitions, and 3) by deliberately misinterpreting the data presented, especially if it is a biased representation. An example of misunderstanding the data presented could be someone that is researching crime statistics in an area where they...
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...concepts to make learning the new material fun and interactive. Math can be rather difficult for students of all ages. However, with this learning tactic, one may over look the difficulties and focus on the entertaining aspect. The “game” begins with the teaching of basic knowledge of central tendencies – mean, median, and mode. From there, students are introduced to the game and given a story about evil monsters and their means of survival. The story occurs in a dungeon and all the exits are blocked with monsters. There are three exits, each marked with the central tendency that describes the size of the monsters standing between that door and freedom. They are given an opportunity to choose from three doors marked mean, median, and mode with numerical values. There is no particular order the doors should be marked for each game. For example, door number one may be marked as “mode = 75” one game and marked as median = 7 for the next. Behind the door marked with “the mode” are many small monsters and a few giant monsters. Unfortunately, students who choose this door are typically eaten. It helps the students understand that the numeric value of the mode describes the different variety of creatures behind the door and which kind is most abundant behind the door. Another door marked is “the median”. With then median door, the class notices that the distributions of monsters guarding this escape route are terribly skewed. Because of the skewed distribution, the median does...
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...Summarizing and Presenting Data Summarizing and Presenting Data The Ballard Integrated Managed Services (BIMS) management team will review the data collected from the case study and present the information using descriptive statistics. Team C will review the measures that the management team will use when reporting the descriptive statistics. Team C will prepare and describe the methods of measurement for mean, median, mode, standard deviation, and provide graphical display of data. Team C will use each measurement method and draw random selections from the BIMS Coding spreadsheet to report conclusions and make recommendations about the data. The following survey was given to every BIMS employee to get an idea on how Ballard satisfied the employees were with the company. The management team will use this information to report conclusions drawn from the data and make recommendations to Ballard’s management team to improve the employee’s morale, communication, and working conditions. Very Negative Very Positive 1. How well do you enjoy working for BIMS? 2. You enjoy your assigned shift. 3. Your request for your desired shift was fulfilled. 4. How many times have you called in sick in the last month? 5. You are well trained for your work. 6. You are paid fairly for the work you do. 7. Your supervisor treats you fairly. 8. Your supervisor’s boss treats your division fairly. 9. The company is good at communicating...
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...guidance, suggestions for preparing this report specially our class representative who provided us information about the procedure in making this report. At last, we thank Officer-in-charge in Omar-Sultan Computer lab that provided us important tips in using various computer applications, software in preparing this report. We acknowledge the special assistance provided by Md. Masud Ahmed, System Engineer of ELB Cyber Cafe, Khilghon and Dhaka. Executive Summary In the report we have tried to show the application of the statistical tools upon the general index or all share index of DSE for the year 2003. To achieve the purpose, first of all we have collected the data for the year 2003. Then we have edited the data for the accuracy test. As we have collected the secondary data directly from the DSE the accuracy of the information is in a reasonable standard. Then we have tried to show the application of the statistical tools which are presented in the body part of the report in different chapters. Those chapters contain Presentation of data, Measurement of central tendency, Measurement of dispersion & Major findings. The body part is also supported by a up going methodology and proper graphs and charts when they are subject to the topic. Lastly, the report contains a appendix part that shows the list of tables and graphs which will facilitate the readers to find out those tables and graphs related to the...
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...1 Arithmetic Mean...................................................................................... 3 3.2 Arithmetic Mean of grouped data............................................................ 4 3.3 Properties of the mean............................................................................. 5 3.4 Geometric Mean....................................................................................... 6 3.5 Harmonic Mean........................................................................................6 4.0 MODE.........................................................................................................…… 7 4.1 Locating Repeated values........................................................................ 8 4.2 Estimating the Mode by Interpolation..................................................... 8 4.3 Locating the Mode by Graphical method............................................... 9 4.4 Estimating the Mode from the Mean and Median................................... 9 5.0 STANDARD DEVIATION….......................................................................... 10 5.1 Merits of Standard...
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