Question

A firm wants to establish how long it is supposed to take to assemble a certain...

A firm wants to establish how long it is supposed to take to assemble a certain product.

A random sample of 13 employees is selected and the company measures how long it takes each of them to assemble the product rounded to the nearest minute.

Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15

Solve the following by hand.

You must show your work including the formulas and all your computations.

3. The mean is: _______

4. The median is: _____

5. The mode is: ______

6. The first quartile is: ____

7. The third quartile is: ____

8. The range is: ______

9. The IQR is: ______

10. The variance is: ______

11. The standard deviation is: ______

12. The coefficient of variation is: ______

13. Convert the 8 into a Z-score: _______

14. Convert the 30 into a Z-Score _______

15. Which of the following is not a measure of location?

(a) mean   (b) median   (c) variance   (d) percentile    (e) quartile

 Mean 23.1538 Median 19 Mode 45 The first quartile is 14 The third quartile is 30 The range is: 40 The IQR is 16 The variance is: 198.31 The standard deviation is: _ 14.08 The coefficient of variation is 0.61

Formula Ref:

 Mean =AVERAGE(A1:A13) Median =MEDIAN(A1:A13) Mode =MODE(A1:A13) The first quartile is =QUARTILE(A1:A13,1) The third quartile is =QUARTILE(A1:A13,3) The range is: =MAX(A1:A13)-MIN(A1:A13) The IQR is =F8-F7 The variance is: =VAR(A1:A13) The standard deviation is: _ =STDEV(A1:A13) The coefficient of variation is =F12/F4
 Convert the 8 into a Z-score: Z = (x- μ) / σ

Z =(8 - 23.15) / 14.08

Z = -1.08

Convert the 30 into a Z-Score

Z =(30- 23.15) / 14.08

Z = 0.49

Which of the following is not a measure of location?

Variance