Exploring Line Plots in Math

Which of the following is a data point on the line plot shown below?

• 3

• 5

• 7

• 9

Answer explanation

The line plot indicates that the value 7 is represented on the plot, confirming it as a data point. The other options, 3, 5, and 9, are not shown on the plot.

Tags

CCSS.3.MD.B.4

How many data points are there in the line plot if the plot shows the following data: 2, 3, 3, 4, 5, 5, 5, 6?

• 6

• 7

• 8

• 9

Answer explanation

The data points in the line plot are: 2, 3, 3, 4, 5, 5, 5, 6. Counting each value, including duplicates, gives a total of 8 data points. Therefore, the correct answer is 8.

Tags

CCSS.3.MD.B.4

Create a line plot using the following data: 1, 2, 2, 3, 4, 4, 4, 5.

• A line plot with 1 'X' above 1, 2 'X's above 2, 1 'X' above 3, 3 'X's above 4, and 1 'X' above 5.

• A line plot with 2 'X's above 1, 1 'X' above 2, 2 'X's above 3, 1 'X' above 4, and 3 'X's above 5.

• A line plot with 1 'X' above 1, 1 'X' above 2, 2 'X's above 3, 2 'X's above 4, and 2 'X's above 5.

• A line plot with 1 'X' above 1, 2 'X's above 2, 1 'X' above 3, 3 'X's above 4, and 1 'X' above 5.

Answer explanation

The correct line plot counts the occurrences of each number: 1 appears once, 2 appears twice, 3 appears once, 4 appears three times, and 5 appears once. Thus, the correct choice is: 1 'X' above 1, 2 'X's above 2, 1 'X' above 3, 3 'X's above 4, and 1 'X' above 5.

Tags

CCSS.3.MD.B.4

Interpret the line plot: If a line plot shows the number of books read by students in a month as 2, 3, 3, 4, 5, 5, 5, 6, what is the most common number of books read?

• 2

• 3

• 5

• 6

Answer explanation

In the line plot, the number of books read are: 2, 3, 3, 4, 5, 5, 5, 6. The number 5 appears most frequently (three times), making it the most common number of books read by students.

Tags

CCSS.2.MD.D.9

CCSS.3.MD.B.4

Compare the data sets: If one line plot shows the data points 1, 2, 2, 3, 4 and another shows 2, 3, 3, 4, 5, which data set has a higher mean?

• First data set

• Second data set

• Both have the same mean

• Cannot be determined

Answer explanation

To find the mean, calculate the average of each data set. The first data set (1, 2, 2, 3, 4) has a mean of 2.4, while the second data set (2, 3, 3, 4, 5) has a mean of 3.0. Thus, the second data set has a higher mean.

Calculate the mean from the line plot: If a line plot shows the data points 1, 2, 2, 3, 4, what is the mean of the data?

• 2

• 2.4

• 3

• 3.2

Answer explanation

To find the mean, add the data points: 1 + 2 + 2 + 3 + 4 = 12. Then divide by the number of points (5): 12 / 5 = 2.4. Thus, the mean is 2.4.

Tags

CCSS.4.MD.B.4

Analyze the trend: If a line plot shows the number of hours spent on homework each day over a week as 1, 2, 2, 3, 4, 4, 5, what trend can be observed?

• Decreasing trend

• Increasing trend

• No trend

• Fluctuating trend

Answer explanation

The line plot shows a consistent increase in hours spent on homework each day, starting from 1 hour and reaching 5 hours by the end of the week. This indicates an increasing trend in homework time.

Tags

CCSS.3.MD.B.4

Identify the outlier: If a line plot shows the data points 1, 2, 2, 3, 3, 3, 10, which data point is an outlier?

• 1

• 2

• 3

• 10

Answer explanation

The data points are 1, 2, 2, 3, 3, 3, and 10. All points except 10 are close together, while 10 is significantly higher than the others. Therefore, 10 is the outlier.

Tags

CCSS.4.MD.B.4

Predict the next data point: If a line plot shows a pattern of 1, 2, 3, 4, what is the most likely next data point?

• 3

• 4

• 5

• 6

Answer explanation

The pattern in the line plot increases by 1 each time: 1, 2, 3, 4. Following this pattern, the next data point should be 4 + 1, which equals 5.

Tags

CCSS.4.MD.B.4

Explain the significance of the mean: Why is calculating the mean from a line plot important?

• It shows the most common data point.

• It provides the total sum of all data points.

• It gives an average value that represents the data set.

• It identifies the outlier in the data set.

Answer explanation

Calculating the mean is important because it provides an average value that represents the entire data set, allowing for a better understanding of the overall trend and central tendency of the data.