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Concept explainers
To calculate mean, median and mode on Sunnydale and Sun Valley
![Check Mark](/static/check-mark.png)
Answer to Problem 3MCQ
Sunnydale’s Mean is 90.14, median is 90, and mode is 90.
Sun Valley’s Mean is 91.14, median is 91, and mode is 91.
Explanation of Solution
Given information:
The temperature data set of Sunnydale and Sun Valley is,
Day | Sunnydale temperature | Sun Valley temperature |
Sunday | 95 | 80 |
Monday | 88 | 86 |
Tuesday | 86 | 91 |
Wednesday | 90 | 102 |
Thursday | 90 | 103 |
Friday | 93 | 91 |
Saturday | 89 | 85 |
Formula used:
Mean is,
ˉx=∑xin
Median is,
M=n+12th
Mode is the maximum value or the most repeated value,
z=MostRepeatedValue
Calculation:
For Sunnydale,
For mean, substituting the values in the formula,
ˉx=95+88+86+90+90+93+897
So,
ˉx=6317
On solving,
ˉx=90.14
Hence, mean is 90.14
Re-arranging the data in ascending order,
86, 88, 89, 90, 90, 93, 95
For median, substituting the values in the formula,
M=7+1th2
On solving,
M=4th
Substituting the values,
M=90
Hence, median is 90
For mode, substituting the value,
z=90
Hence, mode is 90
Therefore, Sunnydale’s Mean is 90.14, median is 90, and mode is 90.
For Sun Valley,
For mean, substituting the values in the formula,
ˉx=80+86+91+102+103+91+857
So,
ˉx=6387
On solving,
ˉx=91.14
Hence, mean is 91.14
Re-arranging the data in ascending order,
80, 85, 86, 91, 91, 102, 103
For median, substituting the values in the formula,
M=7+1th2
On solving,
M=4th
Substituting the values,
M=91
Hence, median is 91
For mode, substituting the value,
z=91
Hence, mode is 91 Therefore, Sun Valley’s Mean is 91.14, median is 91, and mode is 91.
Chapter 10 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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