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Question
Find the mean, the median, and the mode of 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15.
Solution
21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15
∴ Mean = `(21+24+21+6+15+18+21+45+9+6+27+15)/12`
= `228/12=19`
Numbers are 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15
Mostly repeated term = 21
∴ Mode = 21
Now, Arranging the numbers in ascending order = 6, 6, 9, 15, 15, 18, 21, 21, 21, 24, 27, 45
Here, number of terms = 12 which is even
∴ Median = `1/2{"n"/2"th term"+("n"/2+1)"th term"}`
= `1/2{12/2"th term"+(12/2+1)"th term"}`
= `1/2` {6th term + 7th term}
= `1/2` {18 + 21}
= `1/2xx39`
= 19.5
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