Pregunta
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(a) The 9 members of the swim team completed the following numbers of laps at today’s practice:
Which measure should be used to summarize the data?
Mean Median Mode
(b) The readers of a children’s magazine are asked to name their favorite animals.
Which measure indicates the animal chosen most often?
Mean Median Mode
© In a survey, 9 people gave the following ratings for a local politician (on a scale of 0 to 100):
Which measure should be used to summarize the data?
Mean Median Mode

Ask by Edwards Wright. in the United States
Mar 28,2025

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(a)
Use the mean to summarize the lap counts.
(b)
Use the mode to find the most favorite animal.
©
Use the median to summarize the ratings.

Solución

(a)
The numbers of laps are quantitative and do not contain any outliers. The most common and useful measure of center is the mean, which takes every data value into account. Thus, the best summary is the mean.
(b)
When readers name their favorite animals, the data are categorical (names of animals). The measure that indicates the animal chosen most often is the mode.
©
In the ratings for the local politician, most values lie between 44 and 55, but one value, , is much lower than the others. Because the mean is affected by outliers and the mode does not apply (no rating is repeated), the best summary is the median, which is not influenced heavily by extreme values.

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Extra Insights

To summarize the swim team’s lap counts, the median is the best measure to use here. It’s less affected by extreme values, allowing us to see the central tendency of the more typical performances. Arranging the numbers gives us 80 laps as the median, providing a solid representation of the team’s ability without being skewed by the highest or lowest performers.
When considering the favorite animals from the children’s magazine readers, the mode is the right choice because it indicates which animal was selected the most frequently. This measure highlights popular preferences among the kids, capturing the collective spirit of their favorite choices rather than averaging out their diverse opinions.

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