Comparing Mode with Other Measures of Center

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Reviewed by Cierra Henderson
Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Questions: 20 | Updated: Jan 21, 2026
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1) Which measure of center best represents a typical number of smoothies purchased for this data set?

Explanation

The mode is the most frequently occurring value in a data set. Since 1 appears most frequently in the data, the mode best represents a typical number of smoothies purchased.

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About This Quiz
Comparing Mode With Other Measures Of Center - Quiz

Get ready to explore how different measures of center give you insights into data! In this quiz, we’ll compare mode, mean, median, and more in real-world data sets. Whether it's a smoothie stand's sales, student quiz scores, or a shoe store’s most popular sizes, you’ll see how each measure reveals... see moresomething unique about the data. By the end of this quiz, you'll know which measure works best for summarizing different types of data and how to use them to make decisions—whether you’re stocking inventory or analyzing trends. Let’s dive in and discover how to make data work for you!
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2)
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2) What is the mode of this data set?

Explanation

The mode is the number that occurs most frequently. In this case, 1 appears four times, making it the mode.

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3) Which statement about the mean is most accurate for this data set?

Explanation

The mean is pulled upward by the outlier value of 12, as it is significantly higher than most of the data.

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4) Which measure of center is completely unaffected by changing the outlier 12 to 120?

Explanation

The median, being the middle value in an ordered data set, is unaffected by extreme outliers like 120.

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5) If the stand removes the largest value (12) from the data, which measure changes the most?

Explanation

Removing the outlier 12 will most significantly impact the mean, as it is a large value compared to the rest of the data.

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6) Which interpretation is best justified by the distribution?

Explanation

The data is right-skewed due to the outlier (12), so the median or mode would be a better measure of center than the mean.

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7) Which class is most appropriately summarized by the mode?

Explanation

Class B has a strong cluster at 5, making the mode an appropriate measure for summarizing this class.

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8) For which class is the mean likely to be greater than the median?

Explanation

Class B has a right-skewed distribution with a mode at 5. The mean is likely to be greater than the median in this case because the right-skew pulls the mean higher.

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9) If you had to report a typical score for Class A, which measure is most reasonable?

Explanation

Since Class A's data is symmetric, the median is the most reasonable measure to report the typical score.

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10) Which statement best compares centers between the two classes?

Explanation

Class B is right-skewed, so using the median would be appropriate. Class A, being symmetric, could use either the mean or the median.

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11) Which friend’s data have a more meaningful mode?

Explanation

Friend M's data has a mode of 7, and the outlier does not define the mode. Friend N has a clearer and more meaningful mode due to the cluster around 10–12.

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12) Which measure of center is most influenced by Friend M’s outlier of 12?

Explanation

The outlier of 12 will have the most influence on the mean, which is sensitive to extreme values.

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13) Which measure best summarizes a typical day for Friend M?

Explanation

Given that Friend M’s data includes an outlier, the mode is the best measure to summarize a typical day, as it reflects the most common number of texts sent.

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14) Which friend’s mean is likely larger than their median?

Explanation

Friend M's distribution is skewed to the right due to the outlier, so the mean is likely larger than the median.

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15) Which measure of center is most useful for deciding a single size to stock more of?

Explanation

The mode is the most useful measure in this context because it represents the most frequently sold shoe size, making it the best choice for stocking more of that size.

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16) What is the mode of the sizes sold?

Explanation

The mode is the size that occurs most frequently. In this case, both 7 and 9 occur more frequently than any other size.

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17) Why is the mean less helpful in this context?

Explanation

The mean could produce a non-integer value, which is not a valid shoe size, making it less helpful for this context.

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18) Which week’s distribution is more skewed?

Explanation

Week 2's distribution is right-skewed, as there are more low values (1, 2) and a few high values (10).

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19) Which measure of center would best compare the typical defects per batch between the two weeks?

Explanation

The median for Week 2 is appropriate due to the skew in the data, and either the mean or median works for Week 1 as the data is more evenly distributed.

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20) If management wants to communicate the most frequently occurring defect count, which measure should they use?

Explanation

The mode represents the most frequent defect count, making it the best measure for this purpose.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Which measure of center best represents a typical number of smoothies...
What is the mode of this data set?
Which statement about the mean is most accurate for this data set?
Which measure of center is completely unaffected by changing the...
If the stand removes the largest value (12) from the data, which...
Which interpretation is best justified by the distribution?
Which class is most appropriately summarized by the mode?
For which class is the mean likely to be greater than the median?
If you had to report a typical score for Class A, which measure is...
Which statement best compares centers between the two classes?
Which friend’s data have a more meaningful mode?
Which measure of center is most influenced by Friend M’s outlier of...
Which measure best summarizes a typical day for Friend M?
Which friend’s mean is likely larger than their median?
Which measure of center is most useful for deciding a single size to...
What is the mode of the sizes sold?
Why is the mean less helpful in this context?
Which week’s distribution is more skewed?
Which measure of center would best compare the typical defects per...
If management wants to communicate the most frequently occurring...
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