Central Tendency and Dispersion Challenge

A study was conducted to record the weights (in kilograms) of 9 children.

The recorded weights were as follows:

16, 17, 18, 18, 21, 20, 22, 23, 38

What is the sample median weight?

• 21

• 18

• 20

• 23

Which of the following best describes what the median represents in a dataset?

• The most frequently occurring observation in the sample

• The average value

• Half of the observations are less than or equal to the median, and half are greater than or equal to it

• The largest value in the sample

In a skewed distribution, which measure is less affected by outliers?

• Mean

• Median

• Mode

• Range

Which measure of dispersion is defined as the average of the squared differences from the mean?

• Variance

• Range

• Mean Absolute Deviation

• Standard Deviation

If a dataset has the following distribution, which measures of central tendency and dispersion are preferred?

• Mean & SD

• Mean & IQR

• Median & SD

• Median & IQR

A study was conducted to record the weights (in kilograms) of 9 children.

The recorded weights were as follows:

16, 17, 18, 18, 21, 20, 22, 38, 23

What is the IQR?

• 22

• 5

• 12.5

• 21