Virginia SOL Math / Grade 5 / Probability & Statistics

5.PS.1

Line Plots & Stem-and-Leaf Plots

What you'll learn

  • Apply the data cycle to formulate questions and collect data
  • Represent data with line plots and stem-and-leaf plots
  • Analyze data displays and answer questions about them

Words to know

Data —
information you collect
Line plot —
a display showing data as marks above a number line
Stem-and-leaf plot —
a display that splits each value into a stem and a leaf
Stem —
the leading digit or digits of a value
Leaf —
the final digit of a value

Why it matters Data displays turn a list of numbers into a picture, making it easy to spot the most common values and the spread.

Worked examples

Model ItI do

In a stem-and-leaf plot, the stem 3 has leaves 2, 5, and 8. List the values.

The stem is the tens digit and each leaf is a ones digit. Combining stem 3 with each leaf gives the values 32, 35, and 38.

Try It TogetherWe do

A line plot shows X marks at 5 (three times) and 6 (two times). How many data points are there?

Count every X across all the values: three at 5 plus two at 6. That is 3 + 2 = 5 data points in all.

Now YouYou do

In a stem-and-leaf plot, stem 4 has leaves 0 and 7. List the values.

Join the stem with each leaf to build the numbers. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.In a stem-and-leaf plot, stem 1 has leaf 4. What value is this?

  2. 2.A line plot has 3 marks at 7. How many students scored 7?

  3. 3.What does a stem represent in a two-digit stem-and-leaf plot?

On Level

The core Quick Check from the book.

  1. 1.In a stem-and-leaf plot, stem 2 has leaf 6. What value is this?

  2. 2.A line plot has 4 marks at 8. How many students scored 8?

  3. 3.What does a leaf represent in a stem-and-leaf plot?

  4. 4.List the values for stem 5 with leaves 1 and 9.

  5. 5.A line plot shows marks at 3 (two) and 4 (three). How many data points in all?

Challenge

Stretch your thinking.

  1. 1.In a stem-and-leaf plot, stem 6 has leaves 2, 2, and 9. List the values and tell how many are 62.

  2. 2.A line plot shows marks at 2 (four), 3 (one), and 5 (three). How many data points are there in all?

  3. 3.A stem-and-leaf plot has stems 4 and 5. Stem 4 has leaves 1 and 8; stem 5 has leaf 3. What is the greatest value?