Posted: February 19th, 2023
Deduce an appropriate situation for the use of each of these statistical measures: mean, median mode. Construct examples to support each situation.
SOLUTION
Example: Suppose you are calculating the average height of a group of people. You measure the height of 10 people in centimeters and get the following values: 170, 172, 168, 174, 172, 169, 171, 173, 168, 175. To find the mean height, you add up all the heights and divide by 10: (170+172+168+174+172+169+171+173+168+175)/10 = 171.2 cm. Therefore, the mean height of the group is 171.2 cm.
Example: Suppose you are calculating the median income of a group of people. You have the following income data (in thousands of dollars): 15, 17, 18, 20, 25, 30, 35, 50, 100. To find the median income, you first order the values from lowest to highest: 15, 17, 18, 20, 25, 30, 35, 50, 100. The middle value is 25, so the median income is $25,000.
Example: Suppose you are calculating the mode of a group of numbers. You have the following data: 5, 6, 5, 3, 2, 5, 7, 5, 8. The mode of this dataset is 5 because it appears most frequently.
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