๐Ÿ“ Student Worksheet โ€” Session 5: Understanding Averages

Data Science for Young Minds ยท Grade 4 ยท Ages 9โ€“10
๐Ÿ“š Part 1 โ€” Vocabulary
Mean
Median
Mode
Range
Typical value
Outlier
๐Ÿ”ข Part 2 โ€” 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!

โž• MEAN

Step 1: Add all values

Step 2: Write the sum and count

  รท   =
Mean =
๐ŸŽฏ MEDIAN

Step 1: Write values in ORDER

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

Median =
๐Ÿ” MODE

Count how many times each value appears:

3:  
4:  
5:  
7:  
9:  
Mode =
๐Ÿ“ RANGE

Find maximum and minimum:

Maximum =  
Minimum =  
  โˆ’   =
Range =
๐Ÿ“Š Part 3 โ€” Comparison Table

Fill in your answers and then answer the analysis questions.

โž• Mean ๐ŸŽฏ Median ๐Ÿ” Mode ๐Ÿ“ Range

Are the mean and median the same or different? โ˜ Same   โ˜ Different

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

Explain why:

๐Ÿค” Part 4 โ€” The Outlier Challenge

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

New mean:
Sum =   รท 8 =  
New median:
 
Mode changed?
โ˜ Yes   โ˜ No

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

โœ๏ธ Part 5 โ€” 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?

๐Ÿ  Take-Home Challenge โ€” Collect 7 Numbers!

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

โ˜ My dataset:  
Mean =  
Median =  
Mode =  
Range =