Statistics for Data+ (Data+): Mean, Median & Deviation Quiz

1. If you add a constant to every value in a dataset, how does the mean change?

It increases by that constant

It remains the same

It decreases proportionally

It becomes undefined

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3. In a left-skewed distribution, which relationship typically holds true?

Mean > Median > Mode

Mode > Median > Mean

Mean = Median = Mode

Median > Mode > Mean

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5. If two datasets have the same mean but different standard deviations, what can you conclude?

One dataset is more dispersed than the other

Both datasets are identically distributed

The dataset with larger SD has higher values

They contain the same number of observations

6. Which statistic would be most appropriate to identify outliers in a dataset?

Mean

Mode

Z-score

Median

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9. In Statistics for Data+ (Data+) analysis, which measure is most useful when data contains extreme values?

Mean

Median

Variance

Standard deviation

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11. A dataset contains the values: 10, 15, 20, 25, 30. What is the mean?

18

20

22

25

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13. Which of the following best describes a bimodal distribution?

Two peaks in the frequency distribution

A perfectly symmetrical bell curve

Data with high standard deviation

Values clustered around a single mode

14. In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

50%

68%

95%

99.7%

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17. If a dataset has a standard deviation of 0, what does this indicate?

All values are identical

The mean equals the median

There is one outlier

The data is normally distributed

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19. Which measure of central tendency is most affected by extreme outliers?

Median

Mode

Mean

Range

20. For the dataset 5, 8, 12, 15, 20, what is the median?

8

12

15

13

Statistics Quiz: Do You Know Mean, Median & Standard Deviation?

1. If you add a constant to every value in a dataset, how does the mean change?

2.

What first name or nickname would you like us to use?

2. Percentiles divide a dataset into ____ equal parts.

3. In a left-skewed distribution, which relationship typically holds true?

4. The ____ is the difference between the maximum and minimum values in a dataset.

5. If two datasets have the same mean but different standard deviations, what can you conclude?

6. Which statistic would be most appropriate to identify outliers in a dataset?

7. A z-score of 0 indicates that a value is ____ standard deviations from the mean.

8. The interquartile range (IQR) represents the spread of the middle ____ percent of data.

9. In Statistics for Data+ (Data+) analysis, which measure is most useful when data contains extreme values?

10. A coefficient of variation is used to compare the relative variability of datasets with different ____.

11. A dataset contains the values: 10, 15, 20, 25, 30. What is the mean?

12. The ____ is the value that appears most frequently in a dataset.

13. Which of the following best describes a bimodal distribution?

14. In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

15. A distribution with a longer tail on the right side is described as ____.

16. Variance is the ____ of the standard deviation.

17. If a dataset has a standard deviation of 0, what does this indicate?

18. Standard deviation measures the ____ of data points from the mean.

19. Which measure of central tendency is most affected by extreme outliers?

20. For the dataset 5, 8, 12, 15, 20, what is the median?