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Statistics — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsStatistics5 Marks
Question
Calculate the mean deviation about mean for the following distribution:
Class interval
0-4
4-8
8-12
12-16
16-20
Frequency
4
6
8
5
2
✓

Answer

Classes
$f_i$
$x_i$
$f_ix_i$
$|x_i- 9.2|$
$f_i|x_i - 9.2|$
0-4
4
2
8
7.2
28.8
4-8
6
6
36
3.2
19.2
8-12
8
10
80
0.8
6.4
12-16
5
14
70
4.8
24.0
16-20
2
18
36
8.8
17.6
 
N = 25
 
Total = 230
 
Total = 96.0
$\text{Mean}=\frac{230}{25}=9.2$
$\text{M.D}=\frac{96}{25}=3.84$

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