Daily wages of a factory workers are recorded.

Daily wages of a factory workers are recorded as:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency MCQS Q13.1
The lower limit of the modal class is
(a) Rs 137
(b) Rs 143
(c) Rs 136.5
(d) Rs 142.5

Solution:

In the daily wages of workers of a factory are 131-136, 137-142, 142-148, …
which are not a proper class
So, proper class will be 130.5-136.5, 136.5-142.5, 142.5-148.5, …
Lower limit of a model class is 136.5 as 136.5-142.5 is the modal class. (c)

For the following distribution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency MCQS Q14.1
The sum of lower limits of the median class and modal class is
(a) 15
(b) 25
(c) 30
(d) 35

Solution:

From the given distribution
Sum of frequencies = 10 + 15 + 12 + 20 + 9 = 66
and median is \\ \frac { 66 }{ 2 } = 33
Median class will be 10-15 and modal class is 15-20
Sum of lower limits = 10 + 15 = 25 (b)

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