Concept explainers
(a)
The median and mode of the given data
(a)
Answer to Problem 4MCQ
Median:
Mode: 81
Explanation of Solution
Given:
The given data is
Calculation:
The given data is:
45, 48, 51, 55, 57, 57, 62, 72, 72, 73, 75, 78, 79, 81, 81, 81, 81, 87, 88, 92, 97, 99, 99, 100
Median = The exact middle value of the data when arranged from least to greatest
Order the data from least to greatest: 45, 48, 51, 55, 57, 57, 62, 72, 72, 73, 75, 78, 79, 81, 81, 81, 81, 87, 88, 92, 97, 99, 99, 100
As, the total number of observations are 24 (even), median will be the 12th value + 13th value/2.
Median =
Mode = The most frequent value in the given data set
So, Mode = 81
(b)
The range of the given data
(b)
Answer to Problem 4MCQ
Range:
Explanation of Solution
Given:
The given data is
Calculation:
The given data is:
45, 48, 51, 55, 57, 57, 62, 72, 72, 73, 75, 78, 79, 81, 81, 81, 81, 87, 88, 92, 97, 99, 99, 100
Range of the data set is equal to the difference between the highest and lowest value in the given data set.
Order the data from least to greatest: 45, 48, 51, 55, 57, 57, 62, 72, 72, 73, 75, 78, 79, 81, 81, 81, 81, 87, 88, 92, 97, 99, 99, 100
Highest term: 100
Lowest term: 45
Range = 100 − 45
Range = 55
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