Unit 8, Lesson 3

Interpreting Histograms

Accelerated 6

Practice

Problem 1

Match histograms A through E to dot plots 1 through 5 so that each match represents the same data set.

Histogram A, 0 to 20 by fives. Beginning at 5 up to but not including 10, height of bar at each interval is 6, 8, 8, 2, 1. — A

Histogram B, 0 to 20 by fives. Beginning at 30 up to but not including 35, height of bar at each interval is 2, 11, 7, 5. — B

Histogram C, 0 to 20 by fives. Beginning at 0 up to but no including 5, height of bar at each interval is 3, 1, 2, 0, 5, 7, 0, 1, 4, 2. — C

Histogram D, 0 to 20 by fives. Beginning at 20 up to but not including 25, height of bar at each interval is 2, 9, 11, 1, 1, 1. — D

Histogram E, 0 to 20 by fives. Beginning at 5 up to but not including 10, height of bar at each interval is 3, 2, 8, 3, 4, 3, 2. — E

Dot plot has the numbers 0 through 50, in increments of 5, indicated. The data for “dot plot 1” are: 31, 1 dot; 34, 1 dot; 35, 2 dots; 36, 2 dots; 37, 3 dots; 38, 1 dot; 39, 3 dots; 41, 1 dot; 42, 2 dots; 43, 3 dots; 44, 1 dot; 45, 2 dots; 46, 1 dot; 47, 2 dots. — 1

Dot plot has the numbers 0 through 50, in increments of 5, indicated. The data for “dot plot 2” are: 20, 1 dot; 23, 1 dot; 25, 2 dots; 26, 1 dot; 27, 3 dots; 29, 3 dots; 31, 5 dots; 33, 2 dots; 34,4 dots; 36, 1 dot; 41, 1 dot; 48, 1 dot. — 2

Dot plot has the numbers 0 through 50, in increments of 5, indicated. The data for “dot plot 3” are: 5, 1 dot; 6, 2 dots; 7 two dots; 8, 1 dot; 10, 1 dot; 11, 1 dot; 12, 1 dot; 13, 3 dots; 14, 2 dots; 15, 2 dots; 17, 3 dots; 18, 3 dots; 21, 1 dot; 23, 1 dot; 27, 1 dot. — 3

Dot plot has the numbers 0 through 50, in increments of 5, indicated. The data for “dot plot 4” are: 9, 3 dots; 13, 1 dot; 14, 1 dot; 15, 1 dot; 16, 1 dot; 17, 3 dots; 18, 1 dot; 19, 2 dots; 20, 1 dot; 21, 1 dot; 22, 1 dot; 26, 1 dot; 27, 3 dots; 30, 1 dot; 32, 1 dot; 33, 1 dot; 35, 1 dot; 36, 1 dot. — 4

Dot plot has the numbers 0 through 50, in increments of 5, indicated. The data for “dot plot 5” are: 3, 1 dot; 4, 2 dots; 6, 1 dot; 11, 1 dot; 13, 1 dot; 21, 1 dot; 22, 2 dots; 24, 2 dots; 25, 2 dots; 26, 1 dot; 27, 1 dot; 28, 1 dot; 29, 2 dots; 36, 1 dot; 40, 1 dot; 41, 1 do5; 42, 1 dot, 44, 1 dot; 46, 1 dot; 49, 1 dot. — 5

Problem 2

These two histograms show the number of text messages sent in one week by two groups of 100 students. The first histogram summarizes data from sixth-grade students. The second histogram summarizes data from seventh-grade students.

Histogram, text messages sent per week by sixth grade students, 45, to 155 by tens. Beginning at 45 up to but not including 44, height of bar at each interval is 2, 0 11, 21, 27, 20, 12, 3, 3, 0, 1.

Histogram, text messages sent per week by seventh grade students, 45, to 155 by tens. Beginning at 75 up to but not including 85, height of bar at each interval is 7, 30, 31, 24, 3.

Use the center and spread to compare the distributions shown in the histograms.

Problem 3

Here is a histogram that summarizes the lengths, in feet, of a group of adult female sharks. Select all the statements that are true, according to the histogram.

A histogram, length in feet, from 13 to 17 point 5 by point fives. Beginning at 13 up to but not including 13 point 5, the height of the bar for each interval is 1, 1, 4, 10, 10, 9, 10, 4, 1.

A total of 9 sharks were measured.
A total of 50 sharks were measured.
The longest shark that was measured was 10 feet long.
Most of the sharks that were measured were over 16 feet long.
Two of the sharks that were measured were less than 14 feet long.

Problem 4

ForLesson 13: Distances in the Coordinate Plane

The coordinates of a rectangle are \((3, 0)\), \((3, \text-5)\), \((\text-4, 0)\) and \((\text-4, \text-5)\).

What is the length and width of this rectangle?
What is the perimeter of the rectangle?
What is the area of the rectangle?

Problem 5

ForLesson 3: Ordering Rational Numbers

Order these numbers from greatest to least: \(\text-4\), \(\frac14\), 0, 4, \(\text{-}3\frac{1}{2}\), \(\frac74\), \(\text{-}\frac{5}{4}\)

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