Two bus routes are studied for on-time performance. Route A has an IQR of 4 minutes for its arrival times, while Route B has an IQR of 11 minutes. Which route has more predictable arrival times?

There is not enough information

A farmer compares the weekly egg production of two hens. Hen 1 has an IQR of 2 eggs, and Hen 2 has an IQR of 6 eggs. Which statement accurately describes the data?

Hen 2's egg production is more reliable.

Hen 1's egg production is more variable.

Hen 1's egg production is more consistent.

Both hens are equally consistent.

Two cafes track their daily coffee sales. Cafe Mocha has an IQR of $25$ dollars, and Cafe Latte has an IQR of $40$ dollars. Which cafe shows greater variability in its daily sales?

The IQR does not measure variability

Median and IQR Practice — Grade 6 math

Lesson 4: Median and IQR — Practice Questions

1. Two bus routes are studied for on-time performance. Route A has an IQR of 4 minutes for its arrival times, while Route B has an IQR of 11 minutes. Which route has more predictable arrival times?
- A. Route A
- B. Route B
- C. Both are equally predictable
- D. There is not enough information
2. Two students, Maria and John, recorded their weekly quiz scores. Maria's scores have an IQR of 15 points, and John's scores have an IQR of 7 points. The student with the more consistent quiz scores is ___.
3. A farmer compares the weekly egg production of two hens. Hen 1 has an IQR of 2 eggs, and Hen 2 has an IQR of 6 eggs. Which statement accurately describes the data?
- A. Hen 2's egg production is more reliable.
- B. Hen 1's egg production is more variable.
- C. Hen 1's egg production is more consistent.
- D. Both hens are equally consistent.
4. The daily high temperatures for two cities were recorded for a month. City A had an IQR of $5$ degrees Fahrenheit, and City B had an IQR of $14$ degrees Fahrenheit. The city with more variable daily high temperatures is City ___.
5. Two cafes track their daily coffee sales. Cafe Mocha has an IQR of $25$ dollars, and Cafe Latte has an IQR of $40$ dollars. Which cafe shows greater variability in its daily sales?
- A. Cafe Mocha
- B. Cafe Latte
- C. Their variability is the same
- D. The IQR does not measure variability
6. A dataset of weekly salaries has a few extremely high earners. Which statement best describes the relationship between the mean and median?
- A. Mean > Median
- B. Mean < Median
- C. Mean = Median
- D. Mean and Median cannot be compared
7. In a class of 30 students, most scored between 80 and 95 on an exam, but three students scored below 20. What type of distribution does this represent, and how are the mean and median related?
- A. Skewed left; Mean < Median
- B. Skewed right; Mean > Median
- C. Symmetric; Mean ≈ Median
- D. Skewed left; Mean > Median
8. In a symmetric distribution, the mean equals 54. The median is approximately ___.
9. The median house price in a city is 250,000 dollars, but the mean house price is 520,000 dollars. What best explains this difference?
- A. A few very expensive homes are pulling the mean upward
- B. A few very cheap homes are pulling the mean downward
- C. The data is symmetric around 250,000 dollars
- D. The median is always larger than the mean
10. Which measure of center best represents the 'typical' value in a strongly skewed distribution?
- A. Median
- B. Mean
- C. Both are equally good
- D. Neither can be used