Statistics · Mathematics · JEE Advanced
MCQ (Single Correct Answer)
1
Consider the following frequency distribution:
Value | 4 | 5 | 8 | 9 | 6 | 12 | 11 |
---|---|---|---|---|---|---|---|
Frequency | 5 | $f_1$ | $f_2$ | 2 | 1 | 1 | 3 |
Suppose that the sum of the frequencies is 19 and the median of this frequency distribution is 6.
For the given frequency distribution, let $\alpha$ denote the mean deviation about the mean, $\beta$ denote the mean deviation about the median, and $\sigma^2$ denote the variance.
Match each entry in List-I to the correct entry in List-II and choose the correct option.
List – I | List – II |
---|---|
(P) 7 f1 + 9 f2 is equal to | (1) 146 |
(Q) 19 α is equal to | (2) 47 |
(R) 19 β is equal to | (3) 48 |
(S) 19 σ2 is equal to | (4) 145 |
(5) 55 |
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2
Consider the given data with frequency distribution
$$ \begin{array}{ccccccc} x_i & 3 & 8 & 11 & 10 & 5 & 4 \\ f_i & 5 & 2 & 3 & 2 & 4 & 4 \end{array} $$
Match each entry in List-I to the correct entries in List-II.
The correct option is:
$$ \begin{array}{ccccccc} x_i & 3 & 8 & 11 & 10 & 5 & 4 \\ f_i & 5 & 2 & 3 & 2 & 4 & 4 \end{array} $$
Match each entry in List-I to the correct entries in List-II.
List - I | List - II |
---|---|
(P) The mean of the above data is | (1) 2.5 |
(Q) The median of the above data is | (2) 5 |
(R) The mean deviation about the mean of the above data is | (3) 6 |
(S) The mean deviation about the median of the above data is | (4) 2.7 |
(5) 2.4 |
The correct option is:
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