$A$ school has four sections of chemistry in class $XII$ having $40, 35, 45$ and $42$ students. The mean marks obtained in chemistry test are $50, 60, 55$ and $45$ respectively for the four sections. The overall average of marks per student is:
- A$53$
- B$45$
- C$55.3$
- D$52.25$
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Find the mean of the following frequency distribution:
$x_i$ $5$ $15$ $25$ $35$ $45$ $55$ $f_i$ $12$ $18$ $27$ $20$ $17$ $6$
| $x_i$ | $5$ | $15$ | $25$ | $35$ | $45$ | $55$ |
| $f_i$ | $12$ | $18$ | $27$ | $20$ | $17$ | $6$ |
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View SolutionThe arithmetic mean of the following discrete data $12, 14, 20, 23, 25, 32$ is given by
The mean of the series $a, a + nd, a + 2nd$ is
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View SolutionFor a distribution $x_1, x_2, \dots, x_{101}$ such that $x_1 < x_2 < x_3 < \dots < x_{100} < x_{101}$,the mean deviation of this distribution about a number $k$ is minimum. Then $k$ is equal to which of the following?
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