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The marks in a subject for 12 students are as follows: 31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29 For the given data, find the

(a) Range

(b) Mean

(c) Median

(d) Mode

1 Answer

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Best answer

Arranging the data in ascending order, we get 17, 18, 23, 25, 29, 31, 35, 35, 35, 37, 38, 42

(a) Range – Highest value – Lowest value = 42 – 17 = 25

(b) Mean = Sum of all observations/ Number of observations

= (17+18+23 +25+ 29+31+35+35+37+38+42)/12

= 365/12

= 30.41

(c) Observations are even in number.

∴ Median = Mean of two middle most observations

= (31 +35)/2

= 66/2

= 33

(d) Since, 35 occurs most frequently i.e., 3 times.

∴ Mode = 35.

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