Concept explainers
(a)
To calculate: To display the data in a stem and leaf plot
(a)
Answer to Problem 3PT
Data is represented in stem and leaf plot
Explanation of Solution
Given information: Table showing Ms. F’s 1st period test grades
Science Test Grades | |||||||
77 | 78 | 88 | 89 | 67 | 65 | 87 | 99 |
93 | 92 | 76 | 79 | 70 | 85 | 83 | 81 |
Formula Used:
A stem and leaf plot is a special table where each data value is split into a “stem” (first digit(s)) and a “leaf” (usually the last digit)
Calculation:
Data is given as follows:
Science Test Grades | |||||||
77 | 78 | 88 | 89 | 67 | 65 | 87 | 99 |
93 | 92 | 76 | 79 | 70 | 85 | 83 | 81 |
Conclusion:
Hence, data is represented in stem and leaf plot
(b)
To calculate: To find the median test grade
(b)
Answer to Problem 3PT
Median is
Explanation of Solution
Given information: Table showing Ms. F’s 1st period test grades
Science Test Grades | |||||||
77 | 78 | 88 | 89 | 67 | 65 | 87 | 99 |
93 | 92 | 76 | 79 | 70 | 85 | 83 | 81 |
Formula Used:
Median is the middle number in a sorted ascending or descending list of numbers
When the list of number is odd, median is middle number
When the list of numbers is even, median is average of two middle numbers
Calculation:
Data is given as follows:
Science Test Grades | |||||||
77 | 78 | 88 | 89 | 67 | 65 | 87 | 99 |
93 | 92 | 76 | 79 | 70 | 85 | 83 | 81 |
Arranging the numbers in ascending order,
Middle numbers are
Thus, median is calculated as
Conclusion:
Hence, median is
(c)
To calculate: To find the interval do the most of grades occur
(c)
Answer to Problem 3PT
The interval with most grades is
Explanation of Solution
Given information: Table showing Ms. F’s 1st period test grades
Science Test Grades | |||||||
77 | 78 | 88 | 89 | 67 | 65 | 87 | 99 |
93 | 92 | 76 | 79 | 70 | 85 | 83 | 81 |
Calculation:
Data is given as follows:
Science Test Grades | |||||||
77 | 78 | 88 | 89 | 67 | 65 | 87 | 99 |
93 | 92 | 76 | 79 | 70 | 85 | 83 | 81 |
Intervals are
Intervals | Numbers | Count |
65, 67 | 2 | |
70 | 1 | |
76, 77, 78, 79 | 4 | |
81, 83, 85 | 3 | |
87, 88, 89 | 3 | |
92, 93 | 2 | |
99 | 1 |
Thus, interval with most grades is
Conclusion:
Hence, the required interval is
Chapter 13 Solutions
Pre-Algebra, Student Edition
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