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,

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is C.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given frequency table is,

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.

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test