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.

Measures of Center and Variability Practice — Grade 6 math

Lesson 3: Measures of Center and Variability — 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 dot plot shows the number of books read by 4 students, with dots at 1, 2, 2, and 5. What is the mean number of books read? ___
7. A dot plot shows the ages of five cousins: 4, 5, 5, 6, and 10. What is the mean age of the cousins?
- A. 5
- B. 5.5
- C. 6
- D. 6.5
8. A dot plot shows the data set {5, 7, 8, 8}. The mean of this data is 7. What is the Mean Absolute Deviation (MAD)? ___
9. A dot plot shows the number of hours four friends spent practicing piano: 1, 1, 4, and 6. What is the Mean Absolute Deviation (MAD) of the data?
- A. 1.5
- B. 2
- C. 2.5
- D. 3
10. A dot plot has two dots at 3, one dot at 4, and two dots at 5. What is the mean of the data set? ___