The following data set contains the English scores for a sample of grade eleven
ID: 3334121 • Letter: T
Question
The following data set contains the English scores for a sample of grade eleven students.
530
510
440
430
550
440
430
420
360
370
350
410
420
390
520
500
480
480
480
360
The following data set contains the scores of a mathematics test for a sample of grade eleven students.
33
20
28
31
25
20
20
25
24
26
22
27
20
25
20
28
24
29
24
30
Of the two data sets (English and math scores), which of the two test results has more variability?
English scores
Math scores
Equal variability
530
510
440
430
550
440
430
420
360
370
350
410
420
390
520
500
480
480
480
360
Explanation / Answer
English Scores
530
510
440
430
550
440
430
420
360
370
350
410
420
390
520
500
480
480
480
360
Maths Scores
33
20
28
31
25
20
20
25
24
26
22
27
20
25
20
28
24
29
24
30
Variability can be interpreted through 3 ways
Range=highest number-lowest number
Inter-quarter range=75th percentile-25th percentile value
Variance 2 = ( Xi - )2 / N
English
Range=550-350=200
IQR=15th value-5th value
IQR=480-390=90
Variance=3677
Maths
Range=33-20=13
IQR=15th value-5th value
IQR=28-20=8
Variance=16
In all the parameters, English is higher than maths
Hence English has more variability than maths
530
510
440
430
550
440
430
420
360
370
350
410
420
390
520
500
480
480
480
360
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