If two datasets have the same mean, what does it signify if the first dataset has a much larger MAD than the second?

The values in the first dataset are typically higher.

The values in the first dataset are less consistent and more spread out.

The values in the first dataset are more consistent and clustered together.

The median of the first dataset must be larger.

The battery life of two phone models was tested. - Model X: Mean = $14$ hours, MAD = $3$ hours - Model Y: Mean = $16$ hours, MAD = $1$ hour Which is the best interpretation of this data?

Model Y has a longer average battery life and is more consistent.

Model X has a longer average battery life and is more consistent.

Model Y has a longer average battery life but is less consistent.

Model X has a shorter average battery life and is less consistent.

Using Samples Practice — Grade 7 math

Lesson 4: Using Samples — Practice Questions

1. The daily high temperatures for two cities were recorded. - Oaktown: Mean = $72^{\circ}$F, MAD = $11^{\circ}$F - Mapleburg: Mean = $74^{\circ}$F, MAD = $3^{\circ}$F The city with the more consistent temperature is ___.
2. The monthly profits of two coffee shops are recorded. - Shop A: Mean = $4500$ dollars, MAD = $1200$ dollars - Shop B: Mean = $5100$ dollars, MAD = $1500$ dollars The coffee shop with the higher average monthly profit is Shop ___.
3. If two datasets have the same mean, what does it signify if the first dataset has a much larger MAD than the second?
- A. The values in the first dataset are typically higher.
- B. The values in the first dataset are less consistent and more spread out.
- C. The values in the first dataset are more consistent and clustered together.
- D. The median of the first dataset must be larger.
4. The number of goals scored per game by two soccer players is tracked. - Leo: Mean = $1.2$ goals, MAD = $0.9$ goals - Cris: Mean = $0.8$ goals, MAD = $0.3$ goals Based on these stats, the more consistent goal scorer is ___.
5. The battery life of two phone models was tested. - Model X: Mean = $14$ hours, MAD = $3$ hours - Model Y: Mean = $16$ hours, MAD = $1$ hour Which is the best interpretation of this data?
- A. Model Y has a longer average battery life and is more consistent.
- B. Model X has a longer average battery life and is more consistent.
- C. Model Y has a longer average battery life but is less consistent.
- D. Model X has a shorter average battery life and is less consistent.
6. A city planner surveys two random groups of 50 commuters. The first group's average commute is 28 minutes; the second is 31 minutes. What is this difference an example of?
- A. Sampling variability
- B. A calculation mistake
- C. Population bias
- D. A non-random sample
7. Two separate polls survey residents about a new public library. One poll finds 72% support, and another finds 68% support. What does this variability suggest about the town's actual support?
- A. The true support level is likely between 68% and 72%.
- B. One of the polls must have been conducted incorrectly.
- C. No valid conclusion can be made from this data.
- D. The library is unpopular with at least 30% of residents.
8. When two random samples from the same high school show different average daily screen times, this expected and natural difference is known as sampling ___.
9. A pollster finds 25% of residents in one random sample listen to podcasts daily, while a second sample shows 29%. This 4% difference is an example of sampling ___.
10. A researcher takes two random samples of students to find the average number of books read per year. Sample 1 average is 12 books; Sample 2 is 15 books. What term describes this difference?
- A. A sampling error
- B. Sampling variability
- C. A population parameter
- D. Researcher bias