Question(a) What is the most common year of birth reported by the football team? Mean, Median, or Mode? (b) For the data set 28,29,31,32,33,34,35,36,39, which measure summarizes it best? Mean, Median, or Mode? (c) For the ratings 40,41,44,46,48,50,51,52,87, which measure summarizes it best? Mean, Median, or Mode?
Studdy Solution
STEP 1
Assumptions(a) We are given a list of birth years for each member of a football team. We are asked to find the most common year of birth.
(b) We are given a list of the number of soft drinks consumed by9 people in the last month. We are asked to find a suitable measure to summarize this data.
(c) We are given a list of ratings for a local politician, given by9 people. The ratings are on a scale of0 to100. We are asked to find a suitable measure to summarize this data.
STEP 2
(a) The most common value in a data set is given by the mode. Therefore, the mode gives the most common year of birth.
STEP 3
(b) Since the data is not skewed and there are no outliers, the mean, median, or mode could be used to summarize the data. However, the mean is often the best measure of central tendency for symmetrically distributed data.
STEP 4
(c) In this case, the data is skewed because of the rating of87. This outlier can greatly affect the mean, making it not a good measure of central tendency for this data set. The mode is not a good measure either because it's unlikely that there are repeated ratings. The median is the best measure of central tendency for this data set because it is not affected by outliers.
The answers are(a) Mode(b) Mean(c) Median
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