Analyzing Data Distributions

What does the IQR represent in a data set?

• The range of all values

• The spread of the middle 50% of the data

• The difference between maximum and minimum values

• The average of all data points.

Which data set has greater variability if Set A's IQR = 12 and Set B's IQR = 20?

• Set A

• Set B

• Both have the same variability

• Not enough information to determine

What does the vertical line inside the box in a box plot represent?

• Mean

• Median

• Range

• Standard Deviation

A histogram shows most data on the left with a long tail on the right. What is this called?

• Symmetric distribution

• Uniform distribution

• Skewed left

• Skewed right

What is the purpose of whiskers in a box plot?

• To display the middle 50% of the data

• To show outliers

• To indicate the range of data

• To highlight the mean

If removing an outlier changes the range of a data set from 50 to 30, what does this indicate?

• The median has increased

• The data set now has less variability

• The standard deviation has increased

• The IQR increased.

In a bar graph, what does the height of each bar represent?

• Total number of categories

• Spread of data

• Median of data

• Frequency or value of the category.

A data set has values: 10, 12, 14, 18, and 50. How does the outlier (50) affect the mean?

• Decreases it

• No effect

• Increases it

• Makes it equal to the median.

What does a dot in a dot plot represent?

• A range of data values

• A frequency interval

• One data point

• The mean

A box plot shows a long whisker on the right side and a short whisker on the left. What does this indicate?

• The data is skewed right

• The data is symmetric

• The data has no outliers

• The median is larger than the mean