Answer the questions below.(a) The 9 members of a fraternity have the following test scores: 118, 120, 122, 124, 127, 128, 129, 130, 185.Which measure should be used to summarize the data?MeanMedianMode(b) Hong has recorded his golf score for each round he's played this year.Which measure gives the score he shot the most often?MeanMedianMode(c) A bakery sells 9 types of sandwiches. Here are their calorie amounts: 551, 569, 578, 589, 591, 614, 617, 626, 627.Which measure should be used to summarize the data?MeanMedianMode
Question
Answer the questions below.(a) The 9 members of a fraternity have the following test scores: 118, 120, 122, 124, 127, 128, 129, 130, 185.Which measure should be used to summarize the data?MeanMedianMode(b) Hong has recorded his golf score for each round he's played this year.Which measure gives the score he shot the most often?MeanMedianMode(c) A bakery sells 9 types of sandwiches. Here are their calorie amounts: 551, 569, 578, 589, 591, 614, 617, 626, 627.Which measure should be used to summarize the data?MeanMedianMode
Solution
(a) The best measure to summarize the data would be the Median. This is because the data set contains an outlier (185), which would significantly skew the Mean. The Mode is not applicable as all the scores are different.
(b) The measure that gives the score Hong shot the most often would be the Mode. This is because the Mode represents the most frequently occurring value in a data set.
(c) The best measure to summarize the data would be the Mean. This is because there are no outliers in the data set, and the Mean would provide an average calorie count for the sandwiches. The Mode is not applicable as all the calorie counts are different.
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