$5$ people were asked about the time in a week they spend doing social work in their community. They said $10, 7, 13, 20$ and $15$ hours,respectively. Find the mean (or average) time in a week devoted by them for social work.
(13) The mean (or average) of a set of observations is calculated as the sum of all observations divided by the total number of observations.
Let $x_i$ denote the $i$-th observation. Here,we have $5$ observations: $x_1 = 10, x_2 = 7, x_3 = 13, x_4 = 20, x_5 = 15$.
The mean $\bar{x}$ is given by the formula:
$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$
Substituting the values:
$\bar{x} = \frac{10 + 7 + 13 + 20 + 15}{5}$
$\bar{x} = \frac{65}{5} = 13$
Thus,the mean time spent by these $5$ people in doing social work is $13$ hours in a week.
Let $x_i$ denote the $i$-th observation. Here,we have $5$ observations: $x_1 = 10, x_2 = 7, x_3 = 13, x_4 = 20, x_5 = 15$.
The mean $\bar{x}$ is given by the formula:
$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$
Substituting the values:
$\bar{x} = \frac{10 + 7 + 13 + 20 + 15}{5}$
$\bar{x} = \frac{65}{5} = 13$
Thus,the mean time spent by these $5$ people in doing social work is $13$ hours in a week.
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| $36-40$ | $5$ |
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| $56-60$ | $2$ |
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| $71-75$ | $1$ |
| Total | $38$ |
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