Statistics (Mean Median Mode)

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

Click on each question to see answer & solution.

Question No: #11

The median of a given frequency distribution is found graphically with the help of ............
Ans: Ogive
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Question No: #12

The abscissa of the point of intersection of less than type and of the more than types cumulative frequency curves of a grouped data gives its ............. (mean / median / mode)
Ans: Median (মধ্যমা)
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Question No: #13

The median of the data 6, 10, 5, 4, 9, 11, 20, 18 is ............

Question No: #14

If the data `x_1, x_2, x_3, ..., x_100` are arranged in ascending order, then the median is .........

Question No: #15

Mean, median and mode are the measure of ...............................

Question No: #16

The sum of median and mode of the data 12, 19, 11, 13, 18, 11, 13, 12, 13 is ............

Question No: #17

The mode of the data 2, 3, 5, 6, 2, 4, 2, 8, 9, 4, 5, 4, 7, 4, 4 is ............

Question No: #18

Mode of the data 9, 12, 15, 18, 21 is ..........
Ans: Does exist (অস্তিত্ব নেই)
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Question No: #19

State true or false.
(i) For all data, `\sum_{i=1}^n (x_i - \bar{x}) = 0`.
(ii) Mean and median of the following data are equal: 5, 3, 9, 6, 7.
(iii) If `n` is an odd number, then `(n+1)/2`-th term is the median.
(iv) If `n` is an even number, then average of `n/2` th and `(n/2-1)` th observation is the median of that data.
(v) Median of the data `2, 3, 9, 10, 9, 3, 9` is 10.
(vi) The median is always one of the numbers in a data.
(vii) An ogive is always a straight line graph.
(viii) Mode of the data `2, 3, 3, 2, 5, 2, 3, 6, 5` is 6.
(ix) There can be multiple modes for a given data set.
(x) There can be no mode for a given data set.

Question No: #20

The frequency of three numbers 12, 15 and 20 are `x+2`, `x` and `x-1` respectively. If the mean of this data is 14.5, find `x`.