Statistics (Mean Median Mode)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

If the mean of `6, 7, x, 8, y, 14` is `9`, then which of the following is true?
(a) `x+y = 21`, (b) `x+y = 19`, (c) `x-y = 21`, (d) `x-y = 19`

Question No: #2

If the mean of `n` numbers be `\bar{x}` and sum of first `(n-1)` numbers is `k`, then `n`-th term is -
(a) `\bar{x}+k`, (b) `n\bar{x}+k`, (c) `\bar{x}-k`, (d) `n\bar{x}-k`

Question No: #3

If `x_1=5, x_2=-3, y_1=2, y_2=-5`, then find the value of `\sum_{i=1}^2 x_iy_i` -
(a) 25, (b) 10, (c) 0, (d) `-3`

Question No: #4

If `\sum_{i=1}^20 (x_i - 4) = 10`, then the value of `\bar{x}` is -
(a) `4`, (b) `9/2`, (c) `5`, (d) `11/2`

Question No: #5

Median of the data 8, 15, 10, 11, 7, 9, 11, 13, 16 is -
(a) 15, (b) 10, (c) 11.5, (d) 11

Question No: #6

If the mean if the data `x+1`, `x+2`, `x+3`, `x+4` is 0.5, then its median is -
(a) 0.5, (b) 1, (c) 1.5, (d) 2
Ans: (a) 0.5
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Question No: #7

If the mode of the data `16, 15, 17, 16, 15, x, 19, 17, 14` is `15`, then the value of `x` is -
(a) `15`, (b) `16`, (c) `17`, (d) `19`

Question No: #8

If the mean of a set of observation `x_1, x_2, x_3, ..., x_10` is `20`, then the mean of `x_1+4, x_2+4, x_3+4, ..., x_10+4` is ........

Question No: #9

If the mean of a set of observation `x_1, x_2, x_3, ...,x_n` is `\bar{x}`, then the mean of `ax_1, ax_2, ax_3, ...,ax_n` is ......... (where `a \ne 0`)
Ans: `a\bar{x}`
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Question No: #10

If the mean of `p` numbers is `b` and mean of `(p+q)` numbers is `a`, the mean of `q` numbers is ...........​
Ans: `\frac{(p+q)a-pb}{q}`
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