The mean weight of a sample of apples from Orchard A is $150$ g, while the mean for Orchard B is $165$ g. There are no extreme values. What does this suggest?

Apples from Orchard B are typically heavier than apples from Orchard A.

Apples from Orchard A are typically heavier than apples from Orchard B.

Every apple from Orchard B is heavier than every apple from Orchard A.

The heaviest apple must be from Orchard B.

Comparing Populations with Measures of Center Practice — Grade 7 math

Lesson 4: Comparing Populations with Measures of Center — Practice Questions

1. A study compares the weekly earnings of two groups. Group A's data includes a few people with extremely high earnings. Which measure of center is more appropriate for comparing the typical earnings of the two groups?
- A. Median
- B. Mean
- C. Range
- D. Standard Deviation
2. The mean score on a final exam for a sample of students in Section 1 was $85$. The mean score for a sample in Section 2 was $79$. The difference in the mean scores is ___ points.
3. The median number of hours a sample of cats slept per day was $14$. The median for a sample of dogs was $11$. The median for cats is ___ hours greater than the median for dogs.
4. A sample of players from a soccer league has a mean height of $178$ cm. A sample of players from a basketball league has a mean height of $193$ cm. The mean height of the basketball players is ___ cm greater.
5. The mean weight of a sample of apples from Orchard A is $150$ g, while the mean for Orchard B is $165$ g. There are no extreme values. What does this suggest?
- A. Apples from Orchard B are typically heavier than apples from Orchard A.
- B. Apples from Orchard A are typically heavier than apples from Orchard B.
- C. Every apple from Orchard B is heavier than every apple from Orchard A.
- D. The heaviest apple must be from Orchard B.
6. A survey asks students to name their favorite school subject: Math, Science, English, Science, History, Science. Which measure of center should be used to find the most popular subject?
- A. Mean
- B. Median
- C. Mode
- D. Range
7. Consider the following weekly allowances in dollars: $10, 12, 12, 15, 100$. Which measure of center best represents a typical allowance for this group?
- A. Mean
- B. Median
- C. Mode
- D. Standard Deviation
8. To find the most common shoe size sold at a store last month from a list of all sales, you should calculate the ___.
9. The annual salaries for a small company are $\$45,000, \$48,000, \$52,000, \$55,000, and $\$250,000. Why is the median a better measure of center than the mean for this data?
- A. The data is categorical.
- B. The mean is pulled up by the high outlier.
- C. The mode is the highest value.
- D. The data is perfectly symmetric.
10. For a dataset of student test scores that is roughly symmetric and has no outliers, both the median and the ___ are considered appropriate measures of center.