Student Worksheet — Session 5: Understanding Averages

Data Science for Young Minds · Grade 4 · Ages 9–10
Part 1 — Vocabulary
Mean
Median
Mode
Range
Typical value
Outlier
Part 2 — Calculate All Four Measures

Dataset:  4   7   3   9   7   5   7  (7 values)

Show ALL your work in the boxes below. Refer to the worked example on the board!

MEAN

Step 1: Add all values

Step 2: Write the sum and count

  ÷   =
Mean =
MEDIAN

Step 1: Write values in ORDER

Step 2: Cross off one from each end until one remains

Median =
MODE

Count how many times each value appears:

3:  
4:  
5:  
7:  
9:  
Mode =
RANGE

Find maximum and minimum:

Maximum =  
Minimum =  
   =
Range =
Part 3 — Comparison Table

Fill in your answers and then answer the analysis questions.

Mean Median Mode Range

Are the mean and median the same or different? Same   Different

Which measure do you think best describes this dataset? Circle one:   Mean    Median    Mode

Explain why:

Part 4 — The Outlier Challenge

Add the value 50 to the dataset:  4   7   3   9   7   5   7   50

New mean:
Sum =   ÷ 8 =  
New median:
 
Mode changed?
Yes   No

Which measure changed the most when 50 was added? Why?

Part 5 — Real Life Connections

A shoe store wants to know which shoe size to order the most of. Should they use mean, median, or mode? Why?

Five friends' weekly allowances: $5, $5, $6, $7, $30. Which measure best describes the "typical" allowance? Why?

Take-Home Challenge — Collect 7 Numbers!

Find 7 numbers at home (ages of family members, temperatures this week, prices of items, etc.). Calculate all four measures!

My dataset:  
Mean =  
Median =  
Mode =  
Range =