Concept explainers
To calculate mean median and mode of the student concession.
Answer to Problem 1CYU
Mean is 2.73, median is 3 and mode is 2.
Explanation of Solution
Given information: Student working at the concession stand each hour data,
Hours | Number of student |
1 | 3 |
2 | 8 |
3 | 6 |
4 | 4 |
5 | 2 |
Formula used:
Mean formula is,
Where, f is frequency
N is total number of observation
X is observation.
Median formula is,
Where, N cumulative frequency
Mode is,
Calculation:
Hours | Number of students | fX | CF |
1 | 3 | 3 | 3 |
2 | 8 | 16 | 19 |
3 | 6 | 18 | 37 |
4 | 4 | 16 | 53 |
5 | 2 | 10 | 63 |
Total | 23 | 63 |
For mean,
Substituting the values in the mean formula,
0n solving,
Hence, mean is 2.73
For median,
Substituting the value of cumulative frequency,
So,
On solving,
Comparing with the table to find 32nd term,
M= 3
For mode,
Substituting the value of the observation with highest frequency,
Median is best for this type of data, as median is best to represent grouped data. Since, the data is highly skewed, mean can give a deceiving value and mode can be really unruly, unless one knows in advance that mode is unique.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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