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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 mangoes according to the number of boxes.

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.

 5

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

Answers (2)

best_answer

Let the assumed mean be a = 57

Number of 

mangoes

Number of

boxes f_i

Class mark

x_i

 d_i = x_i -a f_id_i
50-52 15 51 -6 -90
53-55 110 54 -3 -330
56-58 135 57 0 0
59-61 115 60 3 345
62-64 25 63 6 150
 

\sum f_i 

=400

    

\sum f_ix_i

=75

Mean, 

\overline x =a + \frac{\sum f_id_i}{\sum f_i}
= 57+ \frac{75}{400} = 57+0.1875 = 57.1875 \approx 57.19
Therefore, the mean number of mangoes kept in a packing box is approx 57.19

Posted by

HARSH KANKARIA

View full answer

Let the assumed mean be a = 57

Number of 

mangoes

Number of

boxes f_i

Class mark

x_i

 d_i = x_i -a f_id_i
50-52 15 51 -6 -90
53-55 110 54 -3 -330
56-58 135 57 0 0
59-61 115 60 3 345
62-64 25 63 6 150
 

\sum f_i 

=400

    

\sum f_ix_i

=75

Mean, 

\overline x =a + \frac{\sum f_id_i}{\sum f_i}
= 57+ \frac{75}{400} = 57+0.1875 = 57.1875 \approx 57.19
Therefore, the mean number of mangoes kept in a packing box is approx 57.19

Posted by

HARSH KANKARIA

View full answer

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