Answer the questions below.(a) In a survey, a soft drink company asks people to name as many brands of soft drinks as they can.Which measure gives the most frequently mentioned brand?MeanMedianMode(b) In a survey, 9 people reported how many soft drinks they drank in the last month. Here are their responses: 28, 29, 31, 33, 34, 35, 38, 39, 88.Which measure should be used to summarize the data?MeanMedianMode(c) In the past 10 days, Michael has received the following numbers of email advertisements per day: 42, 43, 44, 45, 46, 47, 48, 49, 50, 51.Which measure should be used to summarize the data?MeanMedianMode
Question
Answer the questions below.(a) In a survey, a soft drink company asks people to name as many brands of soft drinks as they can.Which measure gives the most frequently mentioned brand?MeanMedianMode(b) In a survey, 9 people reported how many soft drinks they drank in the last month. Here are their responses: 28, 29, 31, 33, 34, 35, 38, 39, 88.Which measure should be used to summarize the data?MeanMedianMode(c) In the past 10 days, Michael has received the following numbers of email advertisements per day: 42, 43, 44, 45, 46, 47, 48, 49, 50, 51.Which measure should be used to summarize the data?MeanMedianMode
Solution
(a) The measure that gives the most frequently mentioned brand in a survey is the Mode. This is because the mode refers to the value that appears most frequently in a data set.
(b) In the case of the number of soft drinks consumed in the last month, the Median should be used to summarize the data. This is because the data set contains an outlier (88), which can significantly skew the mean. The median is not affected by outliers and therefore provides a more accurate measure of central tendency in this case.
(c) For the number of email advertisements Michael received in the past 10 days, either the Mean or the Median could be used to summarize the data. This is because the data set is relatively symmetrical without outliers, so both measures would give a similar and accurate measure of central tendency.
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