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Q.

The mean of the below-given data is ________.

Marks obtained (xi)Number of students (fi)
102
254
384
494
505
698
753
805

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a

63

b

54.14

c

58.15

d

51

answer is D.

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Detailed Solution

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Let us analyze the data:

Marks Obtained (xi)     Number of students (fi)fixi
10220
254100
384152
494196
505250
698552
753225
805400
Total fi=35fi xi= 1895

The formula of mean = x¯=fixifi

Hence, 

x¯=189535    = 54.14

Therefore, the mean of the grouped data is 54.14.

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