# In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

**Solution:**

We will solve this question by the step-deviation method.

Hence, the given class interval is not continuous. First, we have to make it continuous. There is a gap of 1 between two class intervals. Therefore, half of the gap i.e., 0.5 has to be added to the upper-class limit and 0.5 has to be subtracted from the lower-class limit of each interval.

Mean, (x) = a + (Σf_{i}u_{i}/Σf_{i}) × h

We know that, Class mark, x_{i} = (Upper class limit + Lower class limit)/2

Class size, h = 3

Taking assumed mean, a = 57

From the table, we obtain, Σf_{i} = 400 abd Σf_{i}u_{i} = 25

Mean, (x) = a + (Σf_{i}u_{i}/Σf_{i}) × h

= 57 + (25/400) × 3

= 57 + 1/16 × 3

= 57 + 3/16

= 57 + 0.19

= 57.19

The mean number of mangoes kept in a packing box are 57.19

**Video Solution:**

## In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

### NCERT Solutions for Class 10 Maths - Chapter 14 Exercise 14.1 Question 5:

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

The mean number of mangoes kept in a packing box by the fruit vendors in a retail market is 57.19.