The following histogram shows the number of items sold at a grocery store at various prices:

Question

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 1. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 5. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.

Which of the following data sets is represented in the histogram?

{1, 0, 5, 1}
{0.99, 5.01, 5.25, 6.79, 6.99, 7.50, 7.51}
{0.75, 2.50, 7.50, 7.50, 7.50, 7.50, 10.00}
{2.50, 2.51, 5.00, 5.01, 7.50, 7.51, 10.00}
Question 6(Multiple Choice Worth 1 points)
(04.01 MC)

A group of 12 students participated in a dance competition. Their scores are below:

Score (points) 1 2 3 4 5
Number of Students 1 2 4 3 2

Would a line plot or a histogram best represent the data presented here? Why?
Histogram, because a large number of scores are reported as ranges
Histogram, because a small number of scores are reported individually
Line plot, because a large number of scores are reported as ranges
Line plot, because a small number of scores are reported individually
Question 7(Multiple Choice Worth 1 points)
(04.01 LC)

The following line plot shows the pulse rates of runners after finishing a marathon:

Line plot with title of Pulse Rates of Marathon Runners, Pulse Rate on the x axis, and Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, 4 dots over 175

Which of the following data sets is represented in the line plot?

{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
{150, 160, 165, 175}
{1, 3, 5, 4}
{150, 160, 162, 164, 165, 165, 166, 167, 168, 175, 174, 176, 175}
Question 8(Multiple Choice Worth 1 points)
(04.01 LC)

A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A bar chart summarizes their findings:

Bar chart titled Carpool, with Number of Children on the y axis and Schools Groups on the x axis. Bar 1 is Elementary School ages 5 to 10 and has a value of 7. Bar 2 is Middle School ages 11 to 13 and has a value of 5. Bar 3 is High School ages 14 to 18 and has a value of 4.

Which of the following data sets is represented in the bar chart?

{15, 6, 7, 16, 11, 13, 8, 9, 12, 14, 14, 12, 11, 5, 10, 10}
{7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
{5, 7, 10, 5, 11, 13, 4, 14, 18}
{5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}
Question 9(Multiple Choice Worth 1 points)
(04.01 LC)

The following is a list of grades that students received on a recent math exam:

77, 78, 81, 62, 63, 65, 81, 92, 93, 89, 91, 78, 66, 75, 78, 80, 91, 93, 95, 93, 91, 88, 76, 89, 91, 96.

The teacher wants to display scores in equal ranges. Which of the following displays would represent the data in this way?

Bar chart
Box plot
Circle graph
Histogram
Question 10(Multiple Choice Worth 1 points)
(04.01 MC)

The display shows the favorite sport among 9th graders.

Bar graph shows student preferences for sports, with 16 students preferring baseball, 34 preferring basketball, 43 preferring football, 4 preferring soccer, and 3 preferring swimming.

Which of the following describes the data set?

Univariate and categorical
Univariate and numerical
Bivariate and categorical
Bivariate and numerical

Answer 1

Let's answer the questions one by one based on the information provided:

Question 5: Histogram Data Representation

• The heights of the bars correspond to the number of items sold at various price ranges:
  • 0 to $2.50: Height 1 (1 item)
  • $2.51 to $5.00: Height 0 (0 items)
  • $5.01 to $7.50: Height 5 (5 items)
  • $7.51 to $10.00: Height 1 (1 item)

The data set that matches these counts is:

• {1, 0, 5, 1}

Question 6: Best Representation of Students' Scores

• The scores and numbers are given for each individual score. Since the scores are given individually, the best representation would be a line plot.
• Line plot, because a small number of scores are reported individually.

Question 7: Line Plot Data Representation

• The line plot shows the counts of pulse rates:
  • 1 runner at 150
  • 3 runners at 160
  • 5 runners at 165
  • 4 runners at 175

The data set corresponding to this is:

• {150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

Question 8: Carpool Data Representation

• The bar chart shows the number of children in three groups:
  • Elementary (ages 5-10): 7 children
  • Middle School (ages 11-13): 5 children
  • High School (ages 14-18): 4 children

The most fitting data set is:

• {7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4} (7 elementary children, 5 middle schoolers, and 4 high schoolers).

Question 9: Display for Math Exam Grades

• Since the teacher wants to display scores in equal ranges, the best option is:
• Histogram

Question 10: Description of the Data Set

• The bar graph shows preferences for sports among students, which is categorical data (favorite sports).
• The preferred description is:
• Univariate and categorical

In summary:

• Q5: {1, 0, 5, 1}
• Q6: Line plot, because a small number of scores are reported individually.
• Q7: {150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
• Q8: {7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
• Q9: Histogram
• Q10: Univariate and categorical