The mean of the following distribution is -begin array - c - c - - hline x - i - 5 - 13 - 16 - 19 ll -hline f - i - 4 - 5 - 7 - 4 ll hlinelend array A- 15-55B- 14-65C- 15-35D- 13-65

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Mean

The mean of t...

Question

The mean of the following distribution is ____.

$\begin{matrix} x_{i} & 5 & 13 & 16 & 19 f_{i} & 4 & 5 & 7 & 4 \end{matrix}$

15.55

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15.35

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13.65

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14.65

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Solution

The correct option is C
13.65

Mean of ungrouped frequency distribution is given by

$¯ x = \frac{\sum_{i = 1}^{n} f_{i} x_{i}}{\sum_{i = 1}^{n} f_{i}}$

$= \frac{((5 \times 4) + (13 \times 5) + (16 \times 7) + (19 \times 4))}{(4 + 5 + 7 + 4)}$

$= \frac{(20 + 65 + 112 + 76)}{(4 + 5 + 7 + 4)}$

$= \frac{273}{20}$

Therefore, the mean of the data is 13.65.

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The mean of the following distribution is ____. xi5131619fi4574

The correct option is C 13.65 Mean of ungrouped frequency distribution is given by ¯x=∑ni=1fixi∑ni=1fi =((5 × 4)+(13 × 5)+(16 × 7)+(19 × 4))(4+5+7+4) =(20+65+112+76)(4+5+7+4) =27320 Therefore, the mean of the data is 13.65.

The mean of the following distribution is ____.

$\begin{matrix} x_{i} & 5 & 13 & 16 & 19 f_{i} & 4 & 5 & 7 & 4 \end{matrix}$