Math Grade 7 Quiz Assessing Data Distributions and Variability - 7.SP.B.3

How is the difference between the centers of two distributions expressed?

A) As a sum of the deviations.
B) As a multiple of a measure of variability.
C) Through the median of the data.
D) As a fixed value in the unit of measurement.

If the mean height of Group A is 5 cm greater than Group B, with a variability of 2 cm, how would you express the difference?

A) 2.5 times the variability.
B) 2 times the variability.
C) 7 times the variability.
D) 10 times the variability.

What would be the most straightforward visual method to assess the overlap of two numerical data distributions?

A) Pie chart.
B) Dot plot.
C) Histogram.
D) Bar graph.

When comparing two teams, the mean height of one team is 6 cm greater than the other. If this difference is about three times the variability, what is the mean absolute deviation?

A) 3 cm.
B) 2 cm.
C) 18 cm.
D) 6 cm.

What does a noticeable separation between two distributions on a dot plot signify?

A) High variability within groups.
B) The two groups are very similar.
C) A significant difference between the two groups.
D) Identical median values.

If two data distributions have similar variabilities, what does that imply?

A) They have the same mean.
B) They have the same range of data.
C) Data values deviate from the mean to a similar extent in both distributions.
D) They must be visually identical.

Which of the following is a measure of variability?

A) Mean.
B) Median.
C) Mode.
D) Standard deviation.

What can be inferred if the mean score of Class A is 15 points higher than Class B, and this difference is five times the variability?

A) Class A performed moderately better.
B) The classes performed similarly.
C) Class A performed significantly better.
D) The scores are unrelated.

Why is expressing the difference between the centers of two distributions as a multiple of a measure of variability useful?

A) It simplifies the data for a dot plot.
B) It helps understand the significance of the difference.
C) It proves one distribution is superior.
D) It reduces the need for further analysis.

What does it mean if two numerical data distributions have a high degree of visual overlap?

A) They have no common values.
B) They share a similar range of values.
C) They have identical means.
D) They are unrelated.

Math Grade 7 Quiz Assessing Data Distributions and Variability – 7.SP.B.3

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