Start free
Back to the topic
Free printable worksheetlessoons.com

Statistics and Distributions · Ages 16–17

Median, Mode, and Quartiles Practice

Name: Date:

Order each dataset from least to greatest, then calculate the requested statistics. Suitable for 11th grade statistics practice.

  1. Find the mode of the dataset: 4, 9, 12, 12, 15, 18, 22.

  2. Find the median of the dataset: 3, 5, 8, 11, 14, 19, 21.

  3. Find the median of the dataset: 10, 14, 15, 18, 20, 24.

  4. Identify the modal class for this grouped data: 0–9 (frequency 3), 10–19 (frequency 8), 20–29 (frequency 5).

  5. Find Q1, Q3, and IQR for the list: 2, 4, 6, 8, 10, 12, 14.

  6. Find Q1, Q3, and IQR for the list: 5, 7, 8, 12, 15, 18, 20, 24.

  7. A dataset has values 12, 14, 15, 16, 100. Explain whether the mean or median better represents the typical value.

More topics and worksheets at lessoons.com© 2026 Lessons · 1 / 2
Answer keylessoons.com

Median, Mode, and Quartiles Practice

Answer key

  1. Find the mode of the dataset: 4, 9, 12, 12, 15, 18, 22.

    12

  2. Find the median of the dataset: 3, 5, 8, 11, 14, 19, 21.

    11

  3. Find the median of the dataset: 10, 14, 15, 18, 20, 24.

    16.5 (the average of 15 and 18)

  4. Identify the modal class for this grouped data: 0–9 (frequency 3), 10–19 (frequency 8), 20–29 (frequency 5).

    10–19 (highest frequency of 8)

  5. Find Q1, Q3, and IQR for the list: 2, 4, 6, 8, 10, 12, 14.

    Q1 = 4, Q3 = 12, IQR = 8

  6. Find Q1, Q3, and IQR for the list: 5, 7, 8, 12, 15, 18, 20, 24.

    Q1 = 7.5, Q3 = 19, IQR = 11.5

  7. A dataset has values 12, 14, 15, 16, 100. Explain whether the mean or median better represents the typical value.

    The median (15) is better because the outlier 100 pulls the mean up to 31.4, which is higher than nearly all values in the set.