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Find the average marks of students from the following table:

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74.12

78.65

83.59

51.75

answer is D.

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Detailed Solution

Given is a table,
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Draw a table and obtain the class marks by using the formula

lowerlimit + upperlimit 2

Apply the formula for mean method given as

x ¯ = a + h ∑ f i u i ∑ f i

Here, a is assumed mean, h is class interval length,

u i = x i − a h

x i

is class mark.
Assumed mean is 55.
Then,

x ¯ = 55 + 10 − 2680 ⇒ x ¯ = 55 − 3.25 ⇒ x ¯ = 51.75

Thus, the required value is 51.75.
Therefore, option (4) is correct.

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