Question

Weights of 40 eggs were recorded as given below
Weights in grams: 85-89 90-94 95-99 100-104 105-109
No.of eggs:10 12 15 4 1 2
The lower limit of the modal class is
(a)90 (b) 95 (c)94.5 (d) 89.5​

Answer 1

Given: Total number of eggs = 40

Weights in grams: 85-89 90-94 95-99 100-104 105-109

No.of eggs:10 12 15 4 1 2

To Find: Lower limit of the modal class

Solution:

In the frequency distribution, h = 5

Class 95−99 has maximum frequency = 15

Therefore, 95−99  is the model class where l = 94.5  and fm  = 15

f1 = 12 and f2 = 4

Thus, as per the formula -

Mode = l + ( fm-f1/2fm - f1 - f2) × h

94.5 + ( 15 - 12 / 2 × 15 - 12 - 4 ) × 5

94.5 + ( 3/ 14) × 5

94.5 + 15/14

94.5 + 1.07

95.57

Answer: The modal class is 95.57

Answer 2

Step-by-step explanation:

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