Picture Graphs, Bar Graphs, and Histograms
Site: | Saylor Academy |
Course: | GKT101: General Knowledge for Teachers – Math |
Book: | Picture Graphs, Bar Graphs, and Histograms |
Printed by: | Guest user |
Date: | Tuesday, 20 May 2025, 8:15 AM |
Description
This lecture series describes other ways to represent data on a graph: pictographs and bar graphs. A histogram is a type of bar graph. Watch the videos and complete the interactive exercises.
Table of contents
- Identifying individuals, variables and categorical variables in a data set
- Reading Pictographs
- Reading Bar Graphs
- Reading bar graphs: Harry Potter
- Creating a bar graph
- Reading bar charts: comparing two sets of data
- Reading bar charts: putting it together with central tendency
- Reading pie graphs (circle graphs)
- Practice
Identifying individuals, variables and categorical variables in a data set
Source: Khan Academy, https://www.khanacademy.org/math/statistics-probability/analyzing-categorical-data/one-categorical-variable/v/identifying-individuals-variables-and-categorical-variables-in-a-data-set?modal=1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
Reading Pictographs
Reading Bar Graphs
Reading bar graphs: Harry Potter
Creating a bar graph
Reading bar charts: comparing two sets of data
Reading bar charts: putting it together with central tendency
Reading pie graphs (circle graphs)
Practice
Individuals, variables, and categorical & quantitative data - Questions
1. Mr. Gregory sold several cars this week. Here is some data about the cars he sold.
\(\begin{array}{lllll}
\text{Car sold} & \text{Retail price<span style="font-size: 0.9375rem;">} & \text{Miles per gallon} & \text{Seats} & \text{Navigation} \\
\hline \text{Accord} & \$22,205 & 32 & 5 & \text{no} \\
\hline \text{Altima} & \$22,500 & 32 & 5 & \text{no} \\
\hline \text{Camry} & \$23,070 & 30 & 5 & \text{yes} \\
\ldots & \ldots & \ldots & \ldots & \ldots
\end{array}\)
The individuals in this data set are:
Choose 1 answer:
(A) Mr. Gregory's customers
(B) Cars
(C) Seats
This data set contains:
Choose 1 answer:
(A) 3 variables, 2 of which are quantitative
(B) 3 variables, 3 of which are quantitative
(C) 4 variables, 2 of which are quantitative
(D) 4 variables, 3 of which are quantitative
2. Camille is comparing different apartment complexes. Here is the data she collected.
\( \begin{array}{llllll}
\text{Complex name} & \text{Bedrooms} & \text{Bathrooms} & \text{Rent} & \text{Rent includes heat} & \text{Amenities} \\
\hline \text{Grand Vistas} & 2 & 2 & 990 & \text{no} & \text{fitness center, pool} \\
\hline \text{Maple Ridge} & 2 & 1.5 & 685 & \text{yes} & \text{fitness center, pool} \\
\text{Old Mill} & 2 & 1.5 & 790 & \text{no} & \text{pool} \\
\text{Willow Brook} & 2 & 2 & 885 & \text{no} & \text{jacuzzi}
\end{array}\)
The individuals in this data set are:
Choose 1 answer:
(A) Amenities
(B) Landlords
(C) Apartment complexes
This data set contains:
Choose 1 answer:
(A) 4 variables, 2 of which are categorical
(B) 4 variables, 3 of which are categorical
(C) 5 variables, 2 of which are categorical
(D) 5 variables, 3 of which are categorical
3. The girl's basketball team played a game this Wednesday. Here are some of the statistics for the players from the game.
\(\begin{array}{llll}
\text{Player name} & \text{Free throw percentage} & \text{Assists & Class} \\
\hline \text{Simone} & 100 \% & 4 & \text{Junior} \\
\hline \text{Maricel} & 75 \% & 3 & \text{Junior} \\
\hline \text{Derin} & 80 \% & 7 & \text{Senior} \\
\hline \text{Alli} & 90 \% & 2 & \text{Senior} \\
\hline \text{Asha} & 50 \% & 0 & \text{Sophomore} \\
\hline \ldots & \ldots & \ldots & \ldots \\
\hline
\end{array}\)
The individuals in this data set are:
Choose 1 answer:
(A) Basketball scores
(B) Basketball players
(C) Basketball games
This data set contains:
Choose 1 answer:
(A) 3 variables, 1 of which is quantitative
(B) 3 variables, 2 of which are quantitative
(C) 5 variables, 1 of which is quantitative
(D) 5 variables, 2 of which are quantitative
4. Madison recorded weather conditions for some major cities on the same day. Here is some of the data she collected.
\(\begin{array}{lllll}
\text{City name} & \text{High temp. (degrees Celsius)} & \text{Kind of precipitation} & \text{Average wind speed (kilometers per hour)} & \text{Severe weather alert?} \\
\hline \text{Detroit} & 26 & \text{rain} & 15 & \text{no} \\
\text{San Francisco} & 20 & \text{none} & 17 & \text{no} \\
\hline \text{New York} & 20 & \text{rain} & 6 & \text{yes} \\
\ldots & \ldots & \ldots & \ldots & \ldots
\end{array}\)
The individuals in this data set are:
Choose 1 answer:
(A) Cities
(B) Average wind speeds
(C) Weather conditions
This data set contains:
Choose 1 answer:
(A) 4 variables, 1 of which is categorical
(B) 4 variables, 2 of which are categorical
(C) 3 variables, 1 of which is categorical
(D) 3 variables, 2 of which are categorical
Individuals, variables, and categorical & quantitative data - Answers
1. The individuals in this data set are cars.
This data set contains 4 variables, 4 of which are quantitative.
2. The individuals in this data set are apartment complexes.
This data set contains5 variables,2 of which are categorical.
3. The individuals in this data set are basketball players.
This data set contains 3 variables, 2 of which are quantitative.
4. The individuals in this data set are cities.
This data set contains 4 variables, 2 of which are categorical.
Create bar graphs - Questions
1. The table below shows the type of pets for the students in the third grade at Beatty Elementary school.
\( \begin{array}{lc}
\text{Animal} & \text{Number of students} \\
\hline \text{Dog} & 24 \\
\hline \text{Cat} & 18 \\
\hline \text{Rabbit} & 8 \\
\hline \text{Turtle} & 10 \\
\hline \text{Fish} & 12 \\
\hline
\end{array} \)
Which graph below shows the most reasonable scale for the information in the table?
Choose 1 answer:
2. Abigail loves sports! This weekend she spent time playing 5 sports.
Create a bar graph to show how much time Abigail spent playing each sport.
\(\begin{array}{lc}
\hline \text{Sport} & \text{Time} \\
\hline \text{Soccer} & \text{35 minutes} \\
\hline \text{Basketball} & \text{20 minutes} \\
\hline \text{Golf} & \text{45 minutes} \\
\hline \text{Volleyball} & \text{15 minutes} \\
\hline \text{Tennis} & \text{30 minutes} \\
\hline
\end{array}\)
3. Jack created a chart and a bar graph to show how many of each type of nut were in his can of mixed nuts.
\(\begin{array}{lc}
\hline \text{Kind of nut} & \text{Number in the can} \\
\hline \text{Pecans} & 21 \\
\hline \text{Almonds} & 24 \\
\hline \text{Cashews} & 18 \\
\hline \text{Walnuts} & 15 \\
\hline
\end{array}\)
Label each bar on the bar graph.
4. The table below shows number of runs scored by different baseball teams scored over the weekend.
\(\begin{array}{lc}
\hline \text{Baseball team} & \text{Runs score} \\
\hline \text{Braves} & 14 \\
\hline \text{Orioles} & 12 \\
\hline \text{Rockies} & 8 \\
\hline \text{Phillies} & 20 \\
\hline \text{Giants} & 10 \\
\hline
\end{array}\)
Which graph below shows the most reasonable scale for the information in the table?
Choose 1 answer:
5. The elementary school principal asked teachers to report the number of students absent in each grade during the past week.
Create a bar graph to show how many students were absent in each grade.
\(\begin{array}{lc}
\hline \text { School grade } & \text { Number of absent students } \\
\hline 1^{\text {st }} \text { grade } & 15 \\
\hline 2^{\text {nd }} \text { grade } & 25 \\
\hline 3^{\text {rd }} \text { grade } & 5 \\
\hline 4^{\text {th }} \text { grade } & 10 \\
\hline 5^{\text {th }} \text { grade } & 10
\end{array}\)
6. Carol created a chart and a bar graph to show how many of each type of vehicle were in her supermarket parking lot.
\(\begin{array}{lc}
\hline \text { Vehicle Type } & \text { Number in the parking lot } \\
\hline \text { Trucks } & 25 \\
\hline \text { Vans } & 5 \\
\hline \text { Cars } & 40 \\
\hline \text { SUVs } & 10
\end{array}\)
Label each bar on the bar graph.
7. The table below shows the number of nights Steve saw different planets with his telescope.
\(
\begin{array}{lc}
\hline \text { Planet } & \text { Number of nights } \\
\hline \text { Mars } & 14 \\
\hline \text { Mercury } & 22 \\
\hline \text { Jupiter } & 8 \\
\hline \text { Venus } & 26
\end{array}
\)
Which graph below shows the most reasonable scale for the information in the table?
Create bar graphs - Answers
1. This graph shows the most reasonable scale for the table:3.
4.
5.
6.
7. This graph shows the most reasonable scale for the table:
Read bar graphs (2-step problems) - Questions
1. Chelsea asked 500 people at her school their favorite color and graphed the results of her survey. Some colors are not on Chelsea's graph.
How many people chose colors other than those on Chelsea's graph?
_______ people
2. Yasmin took a survey of her classmates to determine the frequencies of different eye colors.
Yasmin surveyed a total of _____ classmates.
3. The graph shows the number of students who play various instruments.


Read bar graphs (2-step problems) - Answers
1. 40 people chose colors other than those on Chelsea's graph.
2. Yasmin surveyed a total of 29 classmates.
3. 8 fewer students play flute than drums and trombone combined.
4. The number of hurricanes in September is equal to the number of hurricanes in June, July, and August combined.