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Students of class 10 of a school decided to donate their pocket money to purchase food packets for flood victims in a nearby village. They packed the food packets in different boxes. These boxes contained a varying number of food packets. The following was the distribution of food packets according to the number of boxes.

The mean number of food packets kept in a packing box is,

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answer is C.

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Detailed Solution

Given frequency table is,

Interval	$x_{i}$
49.5-52.5	51
52.5-55.5	54
55.5-58.5	57
58.5-61.5	60
61.5-64.5	63

We know that mean is given as,

a + h ∑ f i d i ∑ f i

Where,
a= assumed mean
⇒ a=57
h is the class size that is,
h = 52.5-49.5
⇒ h = 3
Consider the table,
Question Image

Therefore,

Mean = a + h ∑ f i d i ∑ f i ⇒ Mean = 57 + 3 × 25400 ⇒ Mean = 57.19

Hence the mean number of food packets kept in a packing box is 57 (approx).
Therefore, option 3 is correct.

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