Calculate mean from the information given below.

C.I 5-6 8-10 11-13 14-16 17-19

Frequency 10 8 7 3 2

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Solution

C.I.
Mid-Point
(m) Frequency
(f) fm

4.5 − 7.5
7.5 − 10.5
10.5 − 13.5
13.5 − 16.0
16.5 − 19.50 6
9
12
15
18 10
8
7
3
2 60
72
84
45
36

Σf = 30 Σfm = 297

$X = \frac{Σ f m}{Σ f} X = \frac{297}{30} = 9.9$
Thus, the mean is 9.9.

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Calculate the mean deviation about the median of the following frequency distribution:

$x_{i}$	$5$	$7$	$9$	$11$	$13$	$15$	$17$
$f_{i}$	$2$	$4$	$6$	$8$	$10$	$12$	$8$

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