1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# 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. Number of mangoes 50 − 52 53 − 55 56 − 58 59 − 61 62 − 64 Number of boxes 15 110 135 115 25 Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Open in App
Solution

## Number of mangoes Number of boxes fi 50 − 52 15 53 − 55 110 56 − 58 135 59 − 61 115 62 − 64 25 It can be observed that class intervals are not continuous. There is a gap of 1 between two class intervals. Therefore, has to be added to the upper class limit and has to be subtracted from the lower class limit of each interval. Class mark (xi) can be obtained by using the following relation. Class size (h) of this data = 3 Taking 57 as assumed mean (a), di, ui, fiui are calculated as follows. Class interval fi xi di = xi − 57 fiui 49.5 − 52.5 15 51 − 6 − 2 − 30 52.5 − 55.5 110 54 − 3 − 1 − 110 55.5 − 58.5 135 57 0 0 0 58.5 − 61.5 115 60 3 1 115 61.5 − 64.5 25 63 6 2 50 Total 400 25 It can be observed that Mean number of mangoes kept in a packing box is 57.19. Step deviation method is used here as the values of fi, di are big and also, there is a common multiple between all di.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Mean
MATHEMATICS
Watch in App
Join BYJU'S Learning Program