Mass (in
grams)
80-100 100-120 120-140- 140-160 160-180
Frequency 20 60 70 x 60
On the basis of the above information, answer
questions:
(i) How many apples are in the range 140-160 mass?
(a) 40 b) 50
(c) 60 d) 70
(ii) What is the mean mass of the apples?
(a) 131 grams b) 135 grams
(c) 150 grams d) 156 grams
(iii) What is the upper limit of the median class?
(a) 80 b) 100
(c) 120 d) 140
(iv) What is the modal mass of the apples?
(a) 122 b) 125
(c) 128 d) 132
Answers
Given : 250 apples
Mass (in grams) 80-100 100-120 120-140 140-160 160-180
Frequency 20 60 70 x 60
Solution:
20+ 60 + 70 + x + 60 = 250
=> x = 40
40 Apples are in the range 140-160
Mass (in grams) Mean f cf d=(Mean -130)/20 d*f
80-100 90 20 20 -2 -40
100-120 110 60 80 -1 -60
120-140 130 70 150 0 0
140-160 150 40 190 1 40
160-180 170 60 250 2 120
250 60
Mean = 130 + 20 x 60 /250
= 130 + 4.8
= 134.8
= 135
median class = 120-140
upper limit of the median class 140
modal class = 120-140
modal mass of the apples =120 + 20 x (70 - 60)/(70 - 60 + 70 - 40)
= 120 + 20 x 10/40
= 120 + 5
= 125
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