Answer the questions below.(a) Here are the prices (in thousands) for 9 houses for sale in a local neighborhood: $162, $286, $287, $298, $305, $307, $308, $309, $312.Which measure should be used to summarize the data?MeanMedianMode(b) On a test, each student is given a grade of A, B, C, D, or F.Which measure tells the grade given most often?MeanMedianMode(c) In a survey, 10 people gave the following ratings for a local politician (on a scale of 0 to 100): 40, 43, 45, 46, 47, 50, 52, 53, 54, 55.Which measure should be used to summarize the data?MeanMedianMode
Question
Answer the questions below.(a) Here are the prices (in thousands) for 9 houses for sale in a local neighborhood: 286, 298, 307, 309, $312.Which measure should be used to summarize the data?MeanMedianMode(b) On a test, each student is given a grade of A, B, C, D, or F.Which measure tells the grade given most often?MeanMedianMode(c) In a survey, 10 people gave the following ratings for a local politician (on a scale of 0 to 100): 40, 43, 45, 46, 47, 50, 52, 53, 54, 55.Which measure should be used to summarize the data?MeanMedianMode
Solution
(a) The median should be used to summarize the data for the house prices. This is because the median gives the middle value of a data set, which is useful when the data set may have outliers or is skewed. In this case, the house prices vary quite a bit, so the median would give a better summary of the typical house price.
(b) The mode should be used to tell the grade given most often. The mode is the value that appears most frequently in a data set. In this case, it would tell us which grade (A, B, C, D, or F) is given most often.
(c) The mean should be used to summarize the data for the ratings of the local politician. The mean, or average, gives a summary of the overall data set by adding all the values and dividing by the number of values. In this case, it would give an average rating for the politician, which would be useful to summarize how the politician is viewed overall.
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