Concept explainers
Which measure of central tendency would change the most
Answer to Problem 3CYU
- Mean
Explanation of Solution
Given:
The given data is
The store sells 83 board games on eighth day
Calculation:
Mean = Sum of all observations/Total number of observations
Median = The exact middle value of the data when arranged from least to greatest
Order the data from least to greatest: 46, 49, 53, 55, 59, 61, 61
As, the total number of observations are 7 (odd), median will be the exact middle term.
Median = 55
Mode = The most frequent value in the given data set
So, Mode = 61
Now, we will calculate the new mean, median and mode by adding the sale of the eighth day i.e. 83.
New data is:
New Mean =
New Median:
Order the data from least to greatest: 46, 49, 53, 55, 59, 61, 61, 83
As, the total number of observations are 8 (even), median will be 4th term + 5thterm/2.
So, Median = 57
New Mode = 61
Therefore, we can see that the mean has changed the most.
Hence, the answer is A. Mean
Chapter 13 Solutions
Pre-Algebra, Student Edition
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