BD 129 Introduction to Statistics Tutorial 2 Q1 Watson Manufacturing, Inc., produced the following number of units in the last 16 days. 27 26 27 28 27 26 28 28 27 31 25 30 25 26 28 26

Construct: a) How many classes should be recommend? b) What class interval should be suggest? c) What lower limit should be recommend for the first class. d) A frequency distribution e) A relative frequency distribution and a cumulative frequency distribution f) A histogram g) A frequency polygon h) Comment on the shape of the frequency distribution Q2 The following chart shows the hourly wages of a sample of operators in a factory.

a) b) c) d) e) f)

How many operators were studied? What is the class interval? About how many operators make less than $10.00 per hour? About 75 percent of the operators make less than what amount? Ten of the operators studied made less than what amount? What percent of the operators make less than $20.00 per hour?

Q3

Following is the number of shareholders for a selected group of large companies (in thousands). 144,177,266,133,209,264,160,143,246,151,239,204,204,195,176,175,200, 173,195,220,251,137,150,262,158,162,165,223,158,162,225,161 Using 7 classes and a lower limit of 130, Construct: a) A frequency distribution b) A relative frequency distribution and a cumulative frequency distribution c) A histogram d) A frequency polygon e) According to the polygon, 75% of the companies have how many shareholders or less? f) Comment on the shape of the frequency distribution g) An ogive h) Comment on the shape of the ogive

Q4

Shafie handles his own investment portfolio, and has done so for many years. Listed below is the holding time (recorded to the nearest whole month) between purchase and sale for his collection of stocks. 8,8,6,11,11,9,8,5,11,4,8,5,14,7,12,8,6,11,9,7,9,14,8,8,12,5,9,8,5,9,10,11,3, 9,8,6 Construct: a) How many classes should be recommend? b) What class interval should be suggest? c) What lower limit should be recommend for the first class. d) A frequency distribution e) A relative frequency distribution and a cumulative frequency distribution f) A histogram g) A frequency polygon h) Comment on the shape of the frequency distribution i) An ogive