Construction of a cumulative frequency distribution.

Construction of a cumulative frequency distribution table is useful in determining the
(a) mean
(b) median
(c) mode
(d) all the three measures

Solution:

Construction of a cumulative frequency distribution table
is used for determining the median, (b)

The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency MCQS Q11.1
The number of athletes who completed the race in less than 14.6 seconds is
(a) 11
(b) 71
(c) 82
(d) 130

Solution:

Time taken in seconds by 150 athletes to run a 110 m hurdle race as given in the sum,
the number of athletes who completed the race in less then 14.6 second is
2 + 4 + 5 + 71 = 82 athletes. (c)

Consider the following frequency distribution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Measures of Central Tendency MCQS Q12.1
The upper limit of the median class is
(a) 17
(b) 17.5
(c) 18
(d) 18.5

Solution:

From the given frequency upper limit of median class is 17.5
as total frequencies 13 + 10 + 15 + 8 + 11 = 57
\\ \frac { 57+1 }{ 2 } = \\ \frac { 58 }{ 2 } = 29
and 13 + 10 + 15 = 28 where class is 12-17
But actual class will be 11.5-17.5
Upper limit is 17.5 (b)

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