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Solution


Q.

A farmer recorded the yield of 200 chilli plants, and the data is presented in the following table:

Chillies per plant

1–7

7–13

13–19

19–25

25–31

Number of plants

15

14

75

87

9

 

To reduce the excessive use of chemicals on his farm, he plans to buy organic manure, but only if the average number of chillies per plant is less than 19.

Based on the above information, answer the following questions:

 

(ii) To help the farmer make his decision, which measure of central tendency (mean, median or mode) will you find out Calculate its actual value.
1 17.83  
2 17.50  
3 17.60  
4 17.25  

Ans.

(1)

Farmer will buy organic manure only if the overall number of chillies per plant is less than 19, i.e., mean number of chillies per plant is less than 19.
We need to find mean of the given data.

Chillies per plant

Number of plants (f?)

Class mark (x?)

f?x?

1–7

15

4

60

7–13

14

10

140

13–19

75

16

1200

19–25

87

22

1914

25–31

9

28

252

Total

Σf? = 200

  

Σf?x? = 3566

 

Mean x¯-ΣfixiΣfi=3566200=17.83