Describing Quantitative Data

Complete the following

Evaluate responses using AI:

OFF

Briefly describe the standard deviation and give it's formula. Then, give the formula for the variance.

Evaluate responses using AI:

OFF

Create a boxplot and give convincing evidence to support or disprove the given claims.

Evaluate responses using AI:

OFF

Which of the following data sets has the highest variability?

• 2, 2, 2, 2, 2

• 1, 3, 5, 7, 9

• 4, 4, 4, 4, 4

• 6, 6, 6, 6, 6

If the interquartile range (IQR) of a data set is 10 and the lower quartile (Q1) is 20, what is the upper quartile (Q3)?

• 10

• 20

• 30

• 40

Which of the following statements is true about the standard deviation?

• It measures the central tendency of the data.

• It measures the spread of the data around the mean.

• It is the same as the range.

• It is unaffected by outliers.

Calculate the range of the data set: 3, 7, 8, 5, 12, 10, 15.

• 8

• 10

• 12

• 15

Identify the outlier in the data set: 5, 7, 8, 6, 100, 9, 10.

• 5

• 7

• 100

• 10

Which is a measure of position?

• median

• quartile

• percentage

When a distribution is divided into four equal parts, each score point describes the distribution as _______

• percentile

• quantiles

• quartile

• decile