Describe Data Distributions

The data below shows the scores of two groups of ten students on a math quiz and a science quiz.

Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72

Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60

Based on the data, which statements are true?

• The median score was greater for math, but the variability was greater for science.

• The median score was greater for science, but the variability was greater for math.

• Both the median score and variability for the math scores are less than that of the science scores.

• Both the median score and variability of the math scores are greater than that of the science scores.

• The range for science is less than the range for math.

Given the following distributions, which has the smallest IQR?

• Red

• Purple

• Black

Given the following distributions, which has the highest median?

• Red

• Purple

• Black

Given the following distributions, which is symmetric?

• Red

• Purple

• Black

Given the following distributions, which is skewed to the right?

• Red

• Purple

• Black

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.

The prices at several different stores for a pair of shoes are shown below.
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

• Only the range was affected.

• The median increased, and the range increased.

• The mean increased, and the range increased.

• The mean decreased and the range increased.

Select the true statement.

• There is a cluster of data between 0 and 2

• There is a gap at 7

• There is an outlier at 8

• The distribution is clearly skewed left

The data for the latest test is shown in this graph. Select the true statement.

• The data has a gap a 74 and 76

• The data is symmetrical

• The data is skewed right

• The data is skewed left

Which statement best describes this distribution?

• Symmetrical or "Bell-Shaped"

• Symmetrical with a U shape

• Skewed Left

• Skewed Right