Box plots, histograms and two-way tables

Box plots, histograms and two-way tables — the three displays a middle-school class meets after bar graphs.

4 sheets · 24 questions · one answer key · 5 pages

Recommended for grades 6–9

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Read a box plot Sheet 1 of 4

Box plotsAxis in 5s

Name: Date:

Read each box plot and answer the question.

Minutes on the school bus (minutes)

What is the median?

What is the lower quartile?

What is the upper quartile?

Rainfall each week (mm)

What is the median?

What is the largest value?

What is the lower quartile?

Box plotsAxis in 5s

Name: Date:

Use each box plot to work out the range and the interquartile range.

Rainfall each week (mm)

What is the interquartile range?

What is the range?

What is the lower quartile?

Minutes on the school bus (minutes)

What is the range?

What is the lower quartile?

What is the interquartile range?

HistogramsIntervals of 10

Name: Date:

Read each histogram and answer the question.

Minutes waiting for the bus (minutes)

Which interval holds the most?

How many are under 40?

How many riders were measured altogether?

Minutes we read last night (minutes)

Which interval holds the most?

How many children are in the 20–29 interval?

How many children were measured altogether?

Two-way tablesFilling the gap from the totals

Name: Date:

One number is missing from each table. Use the totals to find it.

	Fruit	No fruit	Total
Packed	4	6	10
Canteen		8	10
Total	6	14	20

	Chess	Cards	Total
Juniors	10		50
Seniors	7	7	14
Total	17	47	64

	Pet	No pet	Total
Grade 7	22	17	39
Grade 8	35		50
Total	57	32	89

	Swim	Hike	Total
Morning	17	8	25
Afternoon		8	10
Total	19	16	35

	Chess	Cards	Total
Juniors		7	25
Seniors	21	5	26
Total	39	12	51

	Renewed	Returned	Total
Fiction	3		10
Facts	13	8	21
Total	16	15	31

Power Pack · Box plots, histograms and two-way tablesAnswer key

Read a box plot

1. the line inside the box — 35 minutes2. the left edge of the box — 15 minutes3. the right edge of the box — 45 minutes4. the line inside the box — 35 mm5. the end of the right whisker — 55 mm6. the left edge of the box — 20 mm

Range and IQR

1. the width of the box: 40 − 25 = 152. 55 − 15 = 403. the left edge of the box — 25 mm4. 60 − 10 = 505. the left edge of the box — 15 minutes6. the width of the box: 50 − 15 = 35

Histograms

1. 30–39 — 7, the tallest bar2. 5 + 7 = 123. 5 + 7 + 5 + 5 + 5 = 274. 30–39 — 9, the tallest bar5. 20–29 — 86. 8 + 9 + 5 + 5 + 1 = 28

Fill the gap

1. Canteen and Fruit = 22. Juniors and Cards = 403. Grade 8 and No pet = 154. Afternoon and Swim = 25. Juniors and Chess = 186. Fiction and Returned = 7

Box plots, histograms and two-way tables

What is in the pack

The data track

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