(a) The 10 members of the swim team completed the following numbers of laps at today's practice: 77, 78, 79, 80, 83, 84, 86, 89, 90, 91.Which measure should be used to summarize the data?MeanMedianMode(b) A car dealer has used cars for sale for the following amounts: $1200, $3400, $3500, $3700, $3900, $4000, $4300, $4400, $4500.Which measure should be used to summarize the data?MeanMedianMode(c) 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
Question
(a) The 10 members of the swim team completed the following numbers of laps at today's practice: 77, 78, 79, 80, 83, 84, 86, 89, 90, 91.Which measure should be used to summarize the data?MeanMedianMode(b) A car dealer has used cars for sale for the following amounts: 3400, 3700, 4000, 4400, $4500.Which measure should be used to summarize the data?MeanMedianMode(c) 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
Solution
(a) The data for the swim team is almost evenly distributed with no outliers. Therefore, any of the three measures (mean, median, or mode) could be used to summarize the data. However, the mean or median might be more informative as they take into account all the data points.
(b) The data for the car dealer is skewed to the right, with more cars having a higher price. In this case, the median would be a better measure to summarize the data as it is not affected by the skewness.
(c) For the grades, the mode would be the best measure to use as it tells us the grade that was given most often.
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