(Q13). In a retail market, fruit vendors were selling oranges kept in packing baskets. These baskets contained varying number of oranges. The following was the distribution of oranges.

Number of oranges 10-14 15-19 20-24 25-29 30-34
Number of baskets 15 110 135 115 25

Find the mean number of oranges kept in each basket. Which method of finding the mean did you choose?

Solution :

Number of oranges (C.I) Number of baskets (fi) xi ui =
xi - a
h

h = 5
fiui
10-14 15 12 -2 -
15-19 110 17 -1 -
20-24 135 22 a 0
25-29 115 27 1
30-34 25 32 2
- ∑fi = 400 - - ∑fiui =

Here we use step deviation method where a = 135, h = 5,a multiple of all di

x̄ = a +
∑fiui
∑fi
× h
x̄ = 22 +
400
× 5 = .31