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in Measures of Central Tendency by (31.2k points)
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The distribution of marks obtained by 30 students in Maths examination as follows :

Class -interval of marks 10-25 25-40 40-55 55-70 70-85 85-100
No. of students 2 3 7 6 6 6

Find mean from assumed mean method for given data also find mode.

1 Answer

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by (35.3k points)
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Best answer

Let assumed mean (A) = 47.5

∵ Arithmetic mean (\(\overline { x }\)) = A + \(\frac { { \Sigma f }_{ i }{ d }_{ i } }{ { \Sigma f }_{ i } } \) = 47.5 + \(\frac { 435 }{ 30 }\)

 = 47.5 + 14.5 = 62

From given table, if is clear that maximum frequency is 7 and its corresponding class is 40 – 55.

Thus, modal class will be 40 – 55.

∵ l = 40, f0 = 3, f1 = 7, f2 = 6, and h = 15

Thus, mean = 62 and mode = 52

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