Grade: Grade 6 Subject: Mathematics Unit: Statistics Introduction SAT: ProblemSolving+DataAnalysis ACT: Math

Guided Practice: Statistics

Work through statistics problems step-by-step with hints and immediate feedback to build your confidence.

How to Use This Lesson

In this guided practice, you will work through problems step-by-step. Each problem breaks down the process so you can see exactly how to find the mean, median, mode, and range. Complete each step before moving to the next one.

Quick Reference

Keep these formulas handy as you practice:

Mean = Sum of all values / Count of values

Median = Middle value (after ordering from least to greatest)

Mode = Most frequent value

Range = Maximum value - Minimum value

Your Progress

0 of 3 guided problems completed

Guided Problems

1 Finding the Mean

Marcus tracked his daily steps for one week. His step counts were:

5,200 6,800 4,500 7,100 5,900 8,200 6,300

Find the mean (average) number of steps Marcus took per day.

1 Count how many values you have

How many days did Marcus track his steps?

2 Add all the values together

5,200 + 6,800 + 4,500 + 7,100 + 5,900 + 8,200 + 6,300 = ?

3 Divide the sum by the count

Divide your sum by the number of values to find the mean.

Complete!

Mean = 6,285.71 steps per day

On average, Marcus walked about 6,286 steps each day.

2 Finding the Median

A teacher recorded quiz scores for 9 students:

78 92 65 88 71 95 82 76 89

Find the median quiz score.

1 Count the number of values

How many quiz scores are there?

2 Order from least to greatest

Write the smallest value in the ordered list:

3 Find the middle position

With 9 values, what position is the middle? (Hint: (9+1)/2 = ?)

4 Identify the median

Ordered: 65, 71, 76, 78, __, 88, 89, 92, 95. What is the 5th value?

Complete!

Median = 82

Half the students scored above 82, and half scored below.

3 Finding Mode and Range

A shoe store recorded these shoe sizes sold in one day:

8 9 10 8 11 9 8 7 9 8

Find the mode and range of the shoe sizes.

1 Count each value's frequency

How many times does size 8 appear?

2 Identify the mode

Size 7: 1 time, Size 8: 4 times, Size 9: 3 times, Size 10: 1 time, Size 11: 1 time. Which size is the mode?

3 Find the range

Range = Maximum - Minimum. What is the maximum shoe size?

4 Calculate the range

Range = 11 - 7 = ?

Complete!

Mode = 8, Range = 4

Size 8 was most popular. Sizes ranged from 7 to 11, a spread of 4.

Practice Problems

Now try these problems on your own! Use the steps you learned above.

Problem 1: Mean

Find the mean of these test scores: 72, 85, 90, 68, 95

Problem 2: Median (Odd Count)

Find the median of: 14, 22, 18, 25, 16, 20, 19

Problem 3: Median (Even Count)

Find the median of: 45, 52, 38, 61, 47, 55

Problem 4: Mode

Find the mode of: 3, 5, 7, 5, 9, 5, 3, 8, 5

Problem 5: Range

Find the range of: 28, 45, 31, 56, 39, 22, 48

Problem 6: Mean with Decimals

Find the mean of: 4.5, 6.2, 5.8, 7.1, 6.4

Problem 7: Combined

For the data set: 12, 15, 12, 18, 20, 12, 16. What is the mean? (Round to 1 decimal place)

Problem 8: All Measures

For the data set: 8, 12, 8, 15, 8, 10. What is the mode?

Check Your Understanding

Steps to Remember:

  • For Mean: Add all values, then divide by the count
  • For Median: Order the data, find the middle (or average of two middle values)
  • For Mode: Count frequencies, find the most common value
  • For Range: Subtract the minimum from the maximum
Pro Tip: When finding the median with an even number of values, always average the two middle values. For example, with 6 values, average the 3rd and 4th values.

Next Steps

  • Review any steps where you needed multiple attempts
  • Practice with your own data sets (sports scores, temperatures, etc.)
  • Move on to Word Problems to apply these skills in real contexts