Mean Median and Shape of Data Distributions

What is the shape of the distribution?

• Symmetrical

• Uniform

• Skewed Right

• Skewed Left

Which statement best describes this graph?

• There is a peak at 47.

• There is a cluster around 38-40.

• The mode is 40.

• There is a gap in the data between 39-40.

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.

What is the interquartile range (IQR)?

• 4

• 64

• 60

• 8

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?

• 127

• 155

• 156

• 193

What value is the lower quartile?

• 66

• 58

• 60

• 64

Which of the following is the mean absolute deviation for the set of data?
2.50 3.75 1.25 2.25 3.00

• 3.3

• 0.66

• 2.50

• 2.55

It is useful to describe the shape of data. It can be symmetrical or have a positive or negative skew. Data with a positive skew has a long tail in the positive direction of the horizontal axis. Data with a negative skew has....

• a long tail in the direction of the negative horizontal access

• a long tail in the direction of the positive horizontal access

The data in the picture:

• is negatively skewed

• positively skewed

• symmetrical

The data in the picture:

• is negatively skewed

• positively skewed

• symmetrical