Question

7. Which of the following has the same mean, median and mode?
(a) 6, 2, 5, 4, 3, 4, 1 (b) 4, 2, 2, 1, 3, 2, 3
(c) 2, 3, 7, 3, 8, 3, 2 (d) 4, 3, 4, 3, 4, 6, 4

Answer 1

(d) 4, 3, 4, 3, 4, 6, 4

Mean of the given data = (4 + 3 + 4 + 3 + 4 + 6 + 4)/7

= 4

Mode is the observation that occurs most frequently in the data i.e. 4.

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data. Arranging the given data, 3, 3, 4, 4, 4, 4, 6.

So the median is 4.

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Answer 2

Answer :

a) Mean = 25/7

Median = 4

Mode = 4

b) Mean = 17/7

Median = 2

Mode = 2

c) Mean = 4

Median = 3

Mode = 3

d) Mean = 4

Median = 4

Mode = 4

Hence, in (d) 4, 3, 4, 3, 4, 6, 4 mean, median and mode are same i.e 4.

Hope it helps......