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Q.

The mean of the below-given data is ________.

Marks obtained (xi)Number of students (fi)
105
206
302
401
5010
608
703
805

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a

46.5

b

47.5

c

45

d

47

answer is A.

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Detailed Solution

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Let's analyze the data:

Marks Obtained (xi)     Number of students (fi)fixi
10550
206120
30260
40140
5010500
608480
703210
805400
Total fi=40fi xi= 1860

The formula of mean : x¯=fixifi

Hence, 

x¯=186040    = 46.5

Therefore, the mean of the grouped data is 46.5.

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