Question

The marks of 12 students in a subject are as follows:
31, 37, 35, 38, 32, 23, 17, 18, 35, 20, 35, 29
Find the range and mean of the given data.
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Answer 1

Answer:

Step-by-step explanation:

In the given data

The highest value is 38

the lowest value is 17

Therefore the range is

38-17 = 21

Mean

Mean= 31+37+35+38+32+23+17+18+35+20+35+29/number of values

= 31+37+35+38+32+23+17+18+35+20+35+29/12

= 350/12

= 29.167 (approx)

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Answer 2

Answer:

The range is 21 and mean is 29.17.

Step-by-step explanation:

The data set is:

S = {31, 37, 35, 38, 32, 23, 17, 18, 35, 20, 35, 29}

The range is the difference between the maximum and minimum value.

Maximum = 38

Minimum = 17

Range = Maximum - Minimum

           = 38 - 17

           = 21

Compute the mean as follows:

$\bar x=\frac{1}{n}\sum x\\=\frac{1}{12}(31+ 37+ 35+ 38+ 32+ 23+ 17+ 18+ 35+ 20+ 35+ 29)\\=29.17$

Thus, the range is 21 and mean is 29.17.