Concept explainers
The statement that is true from the given 4 statements
Answer to Problem 23STP
J. Both the mean and the median will increase.
Explanation of Solution
Given:
The given data is
The temperature on 8th day is 80 degrees
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: 75, 76, 77, 79, 81, 81, 82
As, the total number of observations are 7 (odd), median will be the exact middle term.
Median = 79
Mode = The most frequent value in the given data set
So, Mode = 81
Now, we will calculate the new mean, median and mode by adding the temperature on the 8th day to the data set i.e. 80 degrees.
New data is:
New Mean =
New Median:
Order the data from least to greatest: 75, 76, 77, 79, 80, 81, 81, 82
As, the total number of observations are 8 (even), median will be 4th term + 5th term/2.
So, Median = (79 + 80)/2
New Median = 79.5
New Mode = 81
Therefore, we can see that the mean and median both have increased.
Hence, the answer is J. Both the mean and the median will increase.
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