Question

The following data set contains the English scores for a sample of grade eleven students. 530 350 510 410 440 420 430 390 550 520 440 500 430 480 420 480 360 480 370 360 The following data set contains the scores of a mathematics test for a sample of grade eleven students. 33 22 20 27 28 20 31 25 25 20 20 28 20 24 25 29 24 24 26 30

Which measure would you use to compare the variability of the English and math scores data sets?

Standard Deviation

median

Coefficient of Variation

Coefficient of Skewness

Answer #1

Coefficient of skewness is not correct answer because skewness can be different for different data set,which is not a good choice to compare the variability between groups

Standard deviation is not correct answer because it only considers the standard deviation in each data group, but standard deviation can be incorrect to compare variability due to no standard calculation.

Median is not a measure of variability, so we will not use median

Coefficient of variation is correct answer because it uses the average or mean value for each data group along with their standard deviations. So, coefficient of variation is correct answer

option C is correct

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Calories
Carbs
780
55
420
34
520
45
290
33
600
47
480
35
290
30
290
35
230
30
680
45
420
35
560
53
740
42
400
40
250
31
230
24
240
32
370
33
450
47
790
56
520
41
640
42
530
57
410
45
330
32
460
27
920
53
180
11
280
16
350
39
380
37
470
45
610
58
400
44
370
40
620
67
580
67
310
30
420
47...

1: Sample:
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Verbal
Math
f
630
660
m
610
550
f
680
660
m
490
390
f
510
520
m
700
700
f
640
710
f
520
470
f
530
500
m
640
570
f
710
700
f
630
520
f
670
580
f
630
610
m
360
290
f
540
490
f
490
560
m
730
760
m
760
700
f
530
670
m
710
700
f
630
610
f
530
490
f
420
410
f
490...

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