Concept explainers
a.
To construct a histogram for each set of data.
a.
Explanation of Solution
Given information : Given data is,
Graph :
For 1st period
For 6th period
Interpretation :
Both the graphs are unstable. Values are increasing and decreasing.
b.
To compare the sets using 5 number summary.
b.
Answer to Problem 15PPS
The five number summary for 1st period is,
206,291,350.5,439,578
The five number summary for 6th period is,
294,316,392,451,509
Explanation of Solution
Given information: Given data is,
Formula used: Median is,
Lower quartile is,
Upper quartile is,
Calculation:
Re-arranging the data in an ascending order,
1st Period |
206,227,253,258,267,283,291,297,303,311,325,331,343,358,372,388,413,427,438,439,456,484,482,506,511,578 |
6th Period |
294,296,297,312,333,308,319,341,352,357,359,378,379,392,401,405,409,421,438,440,451,467,485,490,500,502,506 |
For 1st period median,
Substituting the values,
On solving,
Substituting the values,
On solving,
Hence, Median is 350.5
For 6th period median,
Substituting the values,
On solving,
Substituting the values,
Hence, Median is 392
For 1st periodlower quartile,
Substituting the values,
On solving,
Rounding off,
Substituting the value,
Hence, 1st period Lower quartile is 291
For 1st periodhigher quartile,
Substituting the values,
On solving,
Rounding off,
Substituting the values,
Hence, 1st period higher quartile is 439
For 6th periodlower quartile,
Substituting the values,
On solving,
Substituting the value,
Hence, 6th period Lower quartile is 319
For 6th periodhigher quartile,
Substituting the values,
On solving,
Substituting the value,
Hence,6thperiod higher quartile is 451
For 1st period
Minimum is the smallest value of dataset.
Hence, minimum is 206.
Maximum is the largest value of the dataset.
Hence, maximum is 578.
For 6th period
Minimum is the smallest value of dataset.
Hence, minimum is 294.
Maximum is the largest value of the dataset.
Hence, maximum is 509.
The five number summary for 1st period is,
206,291,350.5,439,578
The five number summary for 6th periodis,
294,316,392,451,509
Five number summary is used as it is less time consuming and more efficient.
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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