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How to Calculate Ratios

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Assessing about servicing attitude in general (question 8)

Chart 7: Ogive of assessing servicing attitude
Based on above chart, it can be seen that x< 2 (assuming that x is mark), cumulative frequency is zero. It means that there is no responder who marks from 0 to 2 in term of servicing attitude. With x<4 on the x axis, it corresponds with about 6 on the y axis. This means that there are 6 responders who marked lower than 4. Similarity, for x<6, the above chart shows that 31 responders marked lower than 6. In other word, 31 responders assessed that serving attitude is normal and below. Likewise, 70 responders evaluated good and below because cumulative frequency is 70 at x<8. Obviously, 100 responders who took part in the survey so cumulative frequency is 100 at x<10.

The numbers in this below chart are calculated by MS Excel. Evaluating about servicing attitude in general | Value | Mid point (x) | (f) | Cumulative frequency | f(x) | |x - | | f(|x - |) | |x - |2 | f(|x - |)2 | 0x<2 | 1 | 0 | 0 | 0 | 5.86 | 0 | 34.3396 | 0 | 2x<4 | 3 | 6 | 6 | 18 | 3.86 | 23.16 | 14.8996 | 89.3976 | 4x<6 | 5 | 25 | 31 | 125 | 1.86 | 46.5 | 3.4596 | 86.49 | 6≤x<8 | 7 | 39 | 70 | 273 | 0.14 | 5.46 | 0.0196 | 0.7644 | 8≤x<10 | 9 | 30 | 100 | 270 | 2.14 | 64.2 | 4.5796 | 137.388 | Total | | 100 | | 686 | 13.86 | 139.32 | 57.298 | 314.04 |

The results are calculated manually 1. Arithmetic mean: = = = 6.86 (Manual computation) 2. Mode :
The mode belongs group from 6x<8 because the group is values which occur most frequently.
Applying the formula

= 7.21

3. Median :
The median is at the: = = 50.5. So that the value is between 50th and 51st item
Applying the formula:

=

= 6.98 4. Maximum:
Counting in 100 results from the survey, maximum is 10 5. Minimum
Counting in 100 results from

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