Central Tendency Quiz
Questions: 16 · 10 minutes
1. Which procedure calculates the arithmetic mean of a dataset?
Arrange the values and select the middle one.
Add all values and divide by the number of values.
Identify the value that occurs most often.
Subtract the smallest value from the largest value.
2. A frequency table shows that 1 occurs twice, 2 occurs three times, and 3 occurs once. Which summary is correct?
The mean, median, and mode are all 2.
The mean and median are 2, while the mode is 3.
The mean is 2, the median is 11/6, and the mode is 1.
The mean is 11/6, and both the median and mode are 2.
3. Repeated perimeter measurements are 4, 6, 6, 8, and 26 centimeters. Which description is correct?
The mean, median, and mode are all 6.
The median is 10, while the mean and mode are 6.
The mean is 10, while both the median and mode are 6.
The mode is 26 because it is the most extreme measurement.
4. A course grade consists of a mid-chapter quiz worth 40% and a final test worth 60%. A student scores 80 on the quiz and 90 on the final. What is the weighted mean?
86
85
88
84
5. If a dataset has a mode, which statement about that mode is always true?
It must equal the dataset's mean.
It is a value that actually appears in the dataset.
It must be located exactly in the middle after sorting.
It must occur in more than half of all observations.
6. Five measurements have a mean of 12. Four of the measurements are 9, 10, 14, and 14. What is the fifth measurement?
13
12
11
15
7. Which statement correctly describes the mode of the dataset 2, 4, 6, 8?
The mode is 5 because 5 is the mean.
The dataset has four modes because it contains four values.
The dataset has no mode because no value occurs more often than another.
The mode is 8 because it is the greatest value.
8. A survey records these preferred colors: red, blue, blue, green, blue, red. What is the mode?
Blue
Green
There is no mode
Red
9. Five line segments have lengths of 5, 8, 8, 11, and 14 centimeters. What is the median length?
8 centimeters
7.5 centimeters
5 centimeters
9.2 centimeters
10. A small company has nine salaries near $45,000 and one executive salary of $400,000. Which measure best represents a typical employee salary?
The mean, because it uses every salary equally
The median, because it is less affected by the extreme salary
The mode, because every salary dataset must have one
The range, because it identifies the central salary
11. The dataset 2, 3, 3, 4, 18 contains a high outlier. If 18 is removed, what happens?
The median becomes 4, and the dataset no longer has a mode.
The mean remains 6, but the median decreases.
The mean and mode increase, while the median remains 3.
The mean decreases, while the median and mode remain 3.
12. Four angle measurements are 3°, 7°, 8°, and 12°. What is their median?
7°
8°
7.25°
7.5°
13. A researcher records participants' preferred polygon: triangle, square, pentagon, or hexagon. Which measure can identify the most common response?
Mean
Mode
Weighted mean
Median
14. In a theoretical, perfectly symmetric distribution with one peak located at its center, how are the mean, median, and mode related?
The mean lies above the median and mode.
The median lies above both the mean and mode.
The mean and median coincide, but the mode must lie elsewhere.
The mean, median, and mode coincide at the center.
15. Every observation in a dataset is increased by 5. What happens to its mean, median, and mode?
The mean and median increase, but the mode stays unchanged.
Only the mean increases by 5.
Each increases by 5.
All three stay unchanged because the dataset's shape is unchanged.
16. One geometry class of 10 students has a mean quiz score of 20. Another class of 30 students has a mean of 30. What is the mean score across all 40 students?
22.5
25
27.5
30