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Statistics — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStatistics4 Marks
Question
Find the mean deviation from the mean for the following data:
Classes
0-100
100-200
200-300
300-400
400-500
500-600
600-700
700-800
Frequencies
4
8
9
10
7
5
4
3
✓

Answer

CI
x
f
xf
d = (x-mean)
fd
0-100
50
4
200
308
1232
100-200
150
8
1200
208
1664
200-300
250
9
2250
108
972
300-400
350
10
3500
8
80
400-500
450
7
3150
92
644
500-600
550
5
2750
192
960
600-700
650
4
2600
292
1168
700-800
750
3
2250
392
1176
 
 
50
17900
 
7896
$\text{Mean}=\frac{1}{\text{n}}\sum\text{f}_\text{i}\text{x}_\text{i}=\frac{17900}{50}=358$
$\therefore\text{M.D}=\frac{1}{\text{n}}\sum\text{f}_\text{i}|\text{d}_\text{i}|=\frac{1}{50}[7896]=157.92$

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