AnswersPre-Algebra BInferences and Predictions

Inferences and Predictions Answers

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1
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Look at these dot plots. Which statement is true about the two data sets?

A
Both have the same mode.
B
Both have a gap between 28 and 31.
C
Both have the same range.
D
Both have the same number of data points.
3

What is the relationship between the medians?The 5th-grade median is 2 points lower.The 5th-grade median is 2 points higher.The 7th-grade median is 3 points lower.✔ The 7th-grade median is 3 points higher.

A
The 5th-grade median is 2 points lower.
B
The 5th-grade median is 2 points higher.
C
The 7th-grade median is 3 points lower.
D
✔ The 7th-grade median is 3 points higher.
9

The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rainfall for the lowlands is about 3 mm less than for the highlands. Why is there a difference in the central measures for each data set?

Answer:

The mean and median for the two locations differ because the distributions of rainfall amounts have different shapes and spreads. In particular, the mean is more sensitive to extreme values or outliers than the median. If one data set has more variation or specific outliers (like high rainfall totals in the highlands), it will shift the mean more significantly than the median, causing the difference in the measures of central tendency.

10

Which statement is true?

A
Both data sets have a gap.
B
Both data sets have the same median.
C
Both plots have the same mode.
D
Both data sets have the same number of data points.
12

7th-grade mean: 5th-grade mean: What is the relationship between the means?

Answers:
Selection 1:16
Selection 2:13.4
Selection 3:The 7th-grade mean is about 2.5 points higher.
15

Check all that you included in your response.

A
Mean and median will differ when there is variation or spread in the distribution.
B
The rainfall for the lowlands had possible outliers and , therefore, a higher variation.
18

What is the relationship between the means?The 5th-grade mean is about 3.5 points lower.The 5th-grade mean is about 2.5 points higher.✔ The 7th-grade mean is about 2.5 points higher.The 7th-grade mean is about 3.5 points higher.

A
The 5th-grade mean is about 3.5 points lower.
B
The 5th-grade mean is about 2.5 points higher.
C
✔ The 7th-grade mean is about 2.5 points higher.
D
The 7th-grade mean is about 3.5 points higher.

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