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Question
The marks scored by the students in social test out of 20 marks are as follows: 12, 10, 8, 18, 14, 16. Find the mean and median?
Solution
Arranging the given data in ascending order: 8, 10, 12, 14, 16, 18
Mean = `"Sum of all observations"/"Number of observations"`
= `(8 + 10 + 12 + 14 + 16 + 18)/6`
= `78/6`
Mean = 13
There are n = 6 observations, which is even
∴ Median = `1/2{("n"/2)^"th" "term" + ("n"/2 + 1)^"th" "term"}`
= `1/2{(6/2)^"th" "term" + (6/2 + 1)^"th" "term"}`
= `1/2{3^"th" "term" + 4^"th" "term"}`
= `1/2{8 + 18}`
= `1/2(26)`
= 13
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