Hours worked per week 21 10 20 17 13 13 20 15 17 19 20 13 13 14 14   What proportion of scores fall above the lowest score for hours worked? What proportion of scores fall between the highest score and the median score for hours worked?

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Hours worked per week

21

10

20

17

13

13

20

15

17

19

20

13

13

14

14

 

  1. What proportion of scores fall above the lowest score for hours worked?
  2. What proportion of scores fall between the highest score and the median score for hours worked?
Expert Solution
Step 1

Data represents Hours worked per week . 

First find mean & standard deviation for the given data . 

The sample size is n = 15. The provided sample data along with the data required to compute the sample mean \bar X and sample variance s^2 are shown in the table below:

  X X2
  21 441
  10 100
  20 400
  17 289
  13 169
  13 169
  20 400
  15 225
  17 289
  19 361
  20 400
  13 169
  13 169
  14 196
  14 196
Sum = 239 3973

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