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Byju's Answer
Standard X
Mathematics
Standard Deviation of Ungrouped Data by Assumed Mean Method
In a study of...
Question
In a study of diabetic patients in a village, the following observations were noted:
Age in years
10
−
20
20
−
30
30
−
40
40
−
50
50
−
60
60
−
70
No. of patients
2
5
12
19
9
3
Calculate the mean and standard deviation. Also interpret the results
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Solution
¯
x
=
∑
F
x
∑
F
=
34.8
σ
=
√
∑
F
(
x
i
−
¯
x
)
2
∑
F
−
1
=
√
9650
49
=
14.033
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Q.
In a study of diabetic patients in a village, the following observations were noted.
Age in years
10−20
20−30
30−40
40−50
50−60
60−70
Number of patients
2
5
12
19
9
4
Represent the above data by a frequency polygon.