To find: A data set that has a median of 5 and mean of 7.
The data set with a median of 5 and a mean of 7 is shown below
1, 2, 3, 3, 4, 4, 5, 5, 6, 10, 10, 11, 13, 14, 14
Concept used:
The mean and median are measures of central tendency, the mean is nothing but the average of all values and the median is the middle value of the data distribution in ascending order.
The mean is calculated using the formula
Calculation:
The collected data set is shown below
1, 2, 3, 3, 4, 4, 5, 5, 6, 10, 10, 11, 13, 14, 14
The mean of the set of data is calculated as shown below
There are a total of 15 data points given in the data distribution arranging them in ascending order, the median of the data distribution is the middle value which is at the 8th position.
With reference to the given set of data values, the data point at the 8th position is 5. The mean of the data distribution is 7 and the median is 5.
Conclusion:
The set of data values with a mean of 7 and a median of 5 is
1, 2, 3, 3, 4, 4, 5, 5, 6, 10, 10, 11, 13, 14, 14.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning