Measures Spread

What does a small standard deviation indicate?

• Data values are far from the mean

• Data values are close to the mean

• Data set has outliers

• Data set has a large range

If Q1 = 10 and Q3 = 25, what is the IQR?

• 10

• 15

• 20

• 25

Two cross country runners have the same average time for 5K races. What does a higher standard deviation indicate?

• The runner's times are more consistent

• The runner's times are more spread out

• The runner finishes the race faster overall

• The runner's times are identical in every race.

What does the interquartile range focus on?

• All data points

• The largest and smallest values

• The mean of the data set

• The middle 50% of data

Which transformation increases the standard deviation of a data set?

• Adding a constant to all values

• Reducing values close to the mean

• Keeping values unchanged

• Increasing values farther from the mean

Why is the range important in analyzing data?

• It shows the consistency of the data points

• It highlights the variation between the highest and lowest values

• It eliminates outliers from the data set

• It calculates the mean

What is the formula for calculating the range of a data set?

• Q3 - Q1

• Mean - Median

• Maximum - Minimum

• Q1 + Q3

• 2

• 3

• 4

• 5

• It increases

• It stays the same

• It decreases

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers: 84, 88, 72, 74, 98, 16, 94

• 16 is an outlier.

• 33 is an outlier.

• 98 is an outlier.

• There are no outliers.

• 94 is an outlier.