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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 the 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 using the Assumed mean method. Please do try to answer this question as soon as possible.

We will find the mean by assumed mean method.

Let assumed mean = 57

    No. of

mangoes

No of boxes

(fi)

Class mark

      (xi)

di = xi-a

a =57

         fi di

 

50 - 52

53 - 55

56 - 58

59 - 61

62 - 64

15

110

135

115

25

51

54

57= a

60

63

51-57= -6

54-57= -3

57-57 = 0

60-57 = 3

63-57 = 6

-90

-330

00

345

150

 

?fi  = 400

 

 

?fi di = 75

 

d = The mean of deviations = ?fi di  / ?fi

                                                 = 75 / 400

                                                 = 0.187

x  = mean = a + (?fi di  / ?fi)

                  =57 + 0.187

                  = 57.187


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