Concept explainers
a.
To find mean of set of data.
a.
Answer to Problem 10.1EP
Mean height is 62 inches
Explanation of Solution
Given information:
Height in inches
66, 66, 60, 59, 69, 71, 62, 63, 64, 67, 64, 65, 66, 67, 68, 62, 69, 70
Formula used:
Calculation:
Substituting frequencies in formula
On solving,
On solving,
Mean=62
Hence, mean height is 62 inches.
b.
To find median of set of data.
b.
Answer to Problem 10.1EP
Median of height is 66 inches.
Explanation of Solution
Given information:
Height in inches
66, 66, 60, 59, 69, 71, 62, 63, 64, 67, 64, 65, 66, 67, 68, 62, 69, 70
Calculation:
Ordered set of data
59, 60, 62, 62, 63, 64, 65, 66, 66, 66, 66, 67, 67, 68, 69, 69, 70, 71 n=18
Where n is number of frequencies
nis even
Then, middle terms are 66, 66
Then, median is mean of these two terms
On solving,
Median=66
Hence, median of height is 66 inches.
c.
To find mode of set of data.
c.
Answer to Problem 10.1EP
Mode is 66 inches.
Explanation of Solution
Given information:
Height in inches
66, 66, 60, 59, 69, 71, 62, 63, 64, 67, 64, 65, 66, 67, 68, 62, 69, 70
Calculation:
Ordered set of data
59, 60, 62, 62, 63, 64, 65, 66, 66, 66, 66, 67, 67, 68, 69, 69, 70, 71 Highest frequency of the set of data is called mode.
Highest frequency is 66
Hence, mode is 66 inches.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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