We included **HMH Into Math Grade 3 Answer Key PDF** **Module 18 Lesson 5 Use Line Plots to Display Measurement Data **to make students experts in learning maths.

## HMH Into Math Grade 3 Module 18 Lesson 5 Answer Key Use Line Plots to Display Measurement Data

I Can use a line plot to display measurement data.

**Spark Your Learning**

Nina measures the length of 2 candles, each from a different package. What is the length of each candle?

Show how Nina might represent each length on a number line.

**Turn and Talk** How could you show two candles with the same length on a number line?

Answer:

If we add an extra 3/4 length to the above candle then both the candles will be the same length on the number line.

1 3/4+3/4

If we calculate this:

Add 1 3/4+3/4 then we get 10/4.

now convert mixed number to improper fraction

1 3/4=1*4/4+3/4

=4+3/4

=7/4.

Now add:

7/4+3/4

=7+3/4

=10/4

=5/2 in the mixed form we can write as 2 1/2.

so definitely if we add 3/4 they both will have same length.

**Build Understanding**

Question 1.

Kendrick makes candles. He records the number of candles and their lengths in a tally chart. Then he makes a line plot of the data.

Connect to Vocabulary

You already have used number lines. A line plot is a graph that uses marks to record each piece of data above a number line.

A. Which candle length does Kendrick make most often?

Answer:

The candle length 2 has the most tally.

Compare to all the lengths, 2 length has 7 marks.

Therefore, Kendrick makes the most is 2 length candle.

B. Which candle length does he make only once?

Answer:

Now observe the line plot, the candle length 3 has been recorded only one time.

C. How do you know if there are any candle lengths on the line plot for which no data was collected?

Answer:

The length 2 1/4 has recorded nothing. In the line plot, we get to know easily. No marks will be represented on the length of 2 1/4.

That’s why we can easily say that no data was collected.

D. How can you describe the data?

Answer: describing the data through methods such as graphical representations, measures of central tendency and measures of variability. It summarizes the data in a meaningful way which enables us to generate insights from it.

– This describes the relationship between two variables or data sets.

**Turn and Talk** In what ways are the chart and the line plot alike? How are they different?

Answer: A line chart is a type of chart that displays information as a series of data points called markers connected by straight line segments. A line plot can be considered a special type of line chart.

– A line chart is a graphic representation of data, while a line plot is a result of plotting statistics as a diagram in different ways.

– And moreover, a line chart can be a useful way to see the relationship between two sets of data.

**Step It Out**

Question 2.

Bob’s Candle Shop sells candle wicks with different lengths.

You can use a line plot to compare data.

A. The shortest wick length is _________ inches.

Answer:

The shortest wick length is 5 3/4 inches.

Because compared to all inches that are the only one having low inch.

B. The shop sold _________ of the shortest wick.

Answer:

the shop sold 1 of the shortest wick.

C. The longest wick length is _________ inches.

Answer: The longest wick length is 6 1/4 inches.

Because compared to all inches that are the only one having high inch.

D. The shop sold __________ of the longest wick.

Answer: The shop sold 8 of the longest wick.

E. Compare the data for the shortest and longest wicks. The shop sold _________ more of the _______ wick than the ______ wick.

Answer:

The number of longest wicks the shop sold=8

The number of shortest wicks the shop sold=1

the shop sold X more of the X1 wick than the X2 wick.

X=longest wicks-shortest wicks

X=8-1

X=7

The shop sold 7 more of the longest wicks than the shortest wicks.

**Check Understanding**

**Use the line plot above.**

Question 1.

How many wicks did the shop sell?

Answer:

The number of longest wicks the shop sold=8

The number of shortest wicks the shop sold=1

The total number of wicks=8+1=9

A-Line plot can be defined as a graph that displays data as points or checkmarks above a number line, showing the frequency of each value.

Question 2.

The shop sold the most of which wick length?

Answer:

A line plot, also called a dot plot, is a graph that shows the frequency, or the number of times, a value occurs in a data set.

Line plots are constructed with each value recorded along the horizontal axis, also called the x-axis. These values can be measurements, weekdays, months, colours, sports, types of food, or anything else one wants to record with a line plot. The number of times each value occurs is marked above that value on the plot. There are a few ways of doing this. A person might draw an X or dot above the value for each occurrence, or a single dot that corresponds to a number written on the vertical y-axis. All line plots should have a title to indicate what data the plot shows. Line plots allow people to evaluate frequency in data sets, which can be helpful for future discussion and research.

**On Your Own**

**Use the line plot for 3-6.**

Faith and Raul use some candles at a party. After the party, they measure the lengths of the candles.

Question 3.

**Critique Reasoning** Faith says candle Lengths in inches the line plot shows that 9 candles have a length of 3 inches. Describe the mistake Faith makes.

Answer:

After the party, they measured some candles out of some candles Faith said 9 candles are having the 3 inches. No mistake is there. According to the line plot Faith said correctly.

Question 4.

How many more candles have a length of 9\(\frac{1}{4}\) inches than a length of 8 inches?

Answer:

The candles have a length of 9 1/4 is 5

The candles have a length of 8 is 2

The number of more candles have a length of 9 1/4 inches than a length of 8 inches=X

X=5-2

X=3

Therefore, 3 more candles have a length of 9 1/4 inches than a length of 8 inches.

Question 5.

How many candles do Faith and Raul use?

Answer: 19 candles.

According to the line plot,

The candle length 8 is 2

The candle length of 8 1/4 is 4

The candle length of 8 1/2 is 0

The candle length of 8 3/4 is 4

The candle length of 9 is 3

The candle length of 9 1/4 is 5

The candle length is of 9 1/2 is 1

Now add all the candles:2+4+0+4+3+5+1

The number of candles they both were used is 19.

Question 6.

**STEM** There are three states of matter: solid, liquid, and gas. The heat from a lit candle makes solid wax become liquid wax. How many candles dripped to a length of less than 8\(\frac{1}{2}\) inches?

Answer:

The candles length of 8 1/4 is 4

The candles length of 8 is 2

8 and 8 1/4 are less than 8 1/2.

Now add to get the number of candles dripped.

4+2=6

therefore 6 candles dripped to a length of fewer than 8 1/2 inches.

**I’m in a Learning Mindset!**

What do I know about line plots?

Answer:

Line plots are a useful way to compare sets of data or track changes over time. You can plot the data in a 2-D or 3-D view using either a linear or a logarithmic scale. Also, you can plot expressions or functions over specific intervals. Create a 2-D line plot and specify the line style, line colour, and marker type.

– They are useful for visualizing data.

– You can use them to represent many different things like relationships between quantities.

– Line plots are also used in statistics and business management.