Statistical Questions and Data Distribution

The number of points scored by a basketball player in the first eight games of a season are shown below.15, 35, 18, 30, 25, 21, 32, 16
What would happen to the data distribution if she scored 24, 22, 27, and 28 points in her next four games?

• The data distribution would be become less peaked and more widely spread
• The data distribution would become less peaked and less widely spread.
• The data distribution would become more peaked and less widely spread.
• The data distribution would become more peaked and more widely spread

The display below shows a set of data points.
If several data points between 115 and 130 are removed, what is the effect on the display?

• The data becomes more peaked
• The data becomes less skewed
• The data becomes more skewed
• There is not enough information to determine the effect.

A data set is normally distributed. As data points are removed from both ends of the range, what happens to the display of data?

• The display becomes skewed right
• The display becomes skewed left.
• The display becomes more peaked at the center.
• The display becomes less peaked at the center

The high temperatures, in degrees Fahrenheit, for eight cities on the same day are shown below.
58, 50, 87, 49, 43, 39, 52, 45
Which statement is true about the temperatures?

• The temperature of the 39 causes the distribution to be skewed to the right
• The temperature of 39 causes the distribution to be skewed to the left
• The temperature of 87 causes the distribution to be skewed to the right
• The temperature of 87 causes the distribution to be skewed to the left  

Given the data set below:
15, 56, 58, 60, 63, 75, 80, 80, 85
How does the outlier affect the distribution of the data?

• The outlier skews the distribution to the left.
• The outlier skews the distribution to the right.
• The outlier makes the distribution more symmetrical.
• The outlier has no effect on the distribution.

The ages of nine employees at a company are shown below.
45, 50, 52, 58, 63, 63, 41, 58, 49
The company hires a tenth employee who is 28 years old. What effect does the new employee have on the shape of the data distribution?

• The new employee causes the distribution to become skewed to the right.
• The new employee causes the distribution to be skewed to the left.
• The new employee causes the distribution to become more symmetrical.
• The new employee causes the distribution to become less spread out.

The list below shows the number of baseball cards seven people own.
130, 142, 145, 145, 150, 163, 121
An eighth person owns 842 baseball cards. What effect does the eighth person have on the distribution of the data?

• The data distribution will become skewed to the left.
• The data distribution will become skewed to the right.
• The data distribution will become more symmetrical.
• The data distribution will become less spread.

The number of books 11 students read during their summer vacation are shown below.
5, 7, 4, 23, 3, 2, 4, 4, 3, 8, 6
Which statement below is true?

• The student who read 2 books caused the data distribution to be skewed left.
• The student who read 2 books caused the data distribution to be skewed right.
• The student who read 23 books caused the data distribution to be skewed to the left.
• The student who read 23 books caused the data distribution to be skewed to the right.

Linda’s quiz scores are 95, 88, 98, 92, 100, and 50. If the outlier is removed, how is the shape of the distribution of the scores affected?

• The distribution will become skewed right.
• The distribution will become skewed left.
• The distribution will become more normal.
• The distribution will not change.