Frequency Tables and Dot Plots

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Frequency Tables and Dot Plots
Printed by: Guest user
Date: Saturday, May 18, 2024, 11:03 AM

Description

Sometimes it is helpful to know how many times a given data point occurs in the set of numbers. This is easy to find out if the data is organized in a frequency table or a dot plot. Watch the video and complete the corresponding interactive exercises.

Frequency tables & dot plots

Practice

  

Data set warm-up - Questions

  1. The following table shows the number of raisins in a scoop of different brands of raisin bran cereal.


\begin{array}{lcccc}
\text { Brand } & \text { Generic } & \text { Clayton's } & \text { Good2go } & \text { Right from Nature } \\
\hline \text { Raisins } & 4 & 9 & 5 & 5
\end{array}

How many brands of raisin bran are shown in the table?

_______ brands

  1.  

    What was the fewest baskets a student made?
    _______ baskets

  2. How many kindergarten teachers have at least 13 students in their class?

    ________ kindergarten teachers

  3. The following data points represent the number of jokers in each of Benjamin's decks of cards.

    2,1,2,0,1,2,1,4,4,2

    What is the most frequent number of jokers?

    ________ jokers

  4. Below is the volume of gas (in liters) in the tank of each race car in today's race.

    \begin{array}{|c|c|c|}\hline \dfrac{8}{5} & \dfrac{3}{5} & \dfrac{1}{5} \\\hline \dfrac{6}{5} & \dfrac{3}{5} & \dfrac{4}{5} \\\hline\end{array}

    How many drivers were in today's race?

    ________  drivers

  5. Nate weighed each of his cats. He found that Betty weighed 1 \frac{1}{4} kilograms, Fido weighed 2 kilograms, Spot weighed 1 \frac{5}{8} kilogram, Yogi weighed 3 \frac{4}{9} kilograms, and Smarts weighed 4 \frac{1}{10} kilograms.

    What was the weight of Nate's heaviest cat?

    ________  kg


  6. How many stores made more than 10 sundaes on Monday?

    ________ stores

Data set warm-up - Answers

1. 4 brands of raisin bran are shown in the table.

2. The fewest baskets a student made was 6.

3. 2 kindergarten teachers have at least 13 students in their class.

4. The most frequent number of jokers is 2.

5. 6 drivers were in today's race.

6. The weight of Nate's heaviest cat was 4 \frac{1}{10} \mathrm{~kg}.

7. 3 stores made more than 10 sundaes on Monday.

Creating frequency tables - Questions

1. The data below shows the number of times that each of the eight students in the Wright Alternative Learning Program has been suspended from school.

\begin{array}{|c|c|c|c|}\hline 4 & 7 & 6 & 5 \\\hline 4 & 7 & 5 & 5 \\\hline\end{array}

Using this data, create a frequency table.

\begin{array}{cc}\hline\text { Number of times being suspended } & \text { Number of students } \\\hline 4 & \text{_____} \\\hline 5 & \text{_____} \\\hline 6 & \text{_____} \\\hline 7 & \text{_____} \\\hline \end{array}

2. The following data points represent the number of holes that moths ate in each of Grandma Marion's dresses.

7,8,8,5,7,8

Using this data, create a frequency table.

\begin{array}{cc|}\text { Number of holes } & \text { Number of dresses } \\\hline 5 & \text{_____}  \\\hline  6 & \text{_____} \\\hline  7 & \text{_____} \\\hline\end{array}

3. The data below shows the number of children that each of the eight members of Moms' Club has.

\begin{array}{|c|c|c|c|}\hline 3 & 5 & 4 & 5 \\\hline 5 & 3 & 1 & 2 \\\hline\end{array}

Using this data, create a frequency table.

\begin{array}{cc}\text { Number of children } & \text { Number of members } \\\hline 1 & \text{_____}  \\\hline 2 & \text{_____} \\\hline 3 & \text{_____} \\\hline 4 & \text{_____} \\\hline 5 & \text{_____} \\\hline \end{array}

4. The following data points represent the number of players on the Russian Bears volleyball team that were injured in each match this year.

1,2,2,1,2,1

Using this data, create a frequency table.

\begin{array}{cc}\text { Number of injured players } & \text { Number of matches } \\\hline 0 & \text{_____} \\\hline1 & \text{_____} \\\hline 2 & \text{_____} \\\hline\end{array}

Creating frequency tables - Answers

1. \begin{array}{cc}\text { Number of times being suspended } & \text { Number of students } \\\hline 4 & 2 \\\hline 5 & 3 \\\hline 6 & 1 \\\hline  7 & 2\end{array}

2. \begin{array}{cc}\text { Number of holes } & \text { Number of dresses } \\\hline 5 & 1 \\\hline 6 & 0 \\\hline 7 & 2 \\\hline 8 & 3\end{array}

3. \begin{array}{cc}\text { Number of children } & \text { Number of members } \\\hline 1 & 1 \\\hline 2 & 1 \\\hline 3 & 2 \\\hline 4 & 1 \\\hline 5 & 3 \\\end{array}

4. \begin{array}{cc}\hline \text{Number of injured players} &\text {  Number of matches } \\\hline 0 & 0 \\\hline 1 & 3 \\\hline 2 & 3 \\\hline \end{array}

Creating dot plots - Questions

1. The frequency table below shows how many hours Kim worked each weekend since she started her new job.

\begin{array}{cc}\hline \text { Number of hours } & \text { Number of weekends } \\\hline 8 & 1 \\\hline 9 & 3 \\\hline 10 & 2 \\\hline 11 & 1 \\\hline\end{array}

Using this data, create a dot plot where each dot represents a weekend.


2. Hugo competes in fishing tournaments. The following data points represent how many fish he caught in each tournament.

27,27,28,28,25,26,27

Using this data, create a dot plot where each dot represents a tournament.


3. The frequency table below shows the number of trick-or-treaters at Cam's house each year since he started putting pumpkins in his yard.

\begin{array}{cc}\hline  \text { Number of trick-or-treaters } & \text { Number of years } \\\hline 53 & 1 \\\hline 54 & 2 \\\hline 55 & 1 \\\hline 56 & 2 \\\hline\end{array}

Using this data, create a dot plot where each dot represents a year.


4. The following data points represent the number of losses the Minnesota Igloos have had each season.

10,9,12,10,11,12,11

Using this data, create a dot plot where each dot represents a season.


Creating dot plots - Answers

  1.  






Reading dot plots & frequency tables - Questions

1. The following dot plot shows the number of cavities for each patient seen by Dr. Hall last week. Each dot represents a different patient.


What was the minimum number of cavities that a patient had?

_____ cavities

2. The following frequency table shows the number of strokes it took each golfer to complete Hole 3 .

\begin{array}{cc}\text { Number of strokes } & \text { Number of golfers } \\\hline 1 & 0 \\\hline 2 & 4 \\\hline 3 & 14 \\\hline 4 & 10 \\\hline 5 & 4 \\\hline 6 & 2 \\\hline \end{array}

What was the most frequent number of strokes?

______ strokes

3. The following dot plot shows the height of each toddler at Ms. Cabrera's daycare. Each dot represents a different toddler.


How many toddlers are in Ms. Cabrera's daycare?

______ toddlers

4. The following frequency table shows the number of Jui's pictures that have been published in each of the local magazines.

\begin{array}{cc}\text { Number of pictures } & \text { Number of magazines } \\\hline 0 & 2 \\\hline 1 & 1 \\\hline 2 & 3 \\\hline 3 & 2 \\\hline  4 & 1 \\\hline \end{array}

What is the most frequent number of pictures?

______ pictures

Reading dot plots & frequency tables - Answers

1. The minimum number of cavities that a patient had was 0.

2. The most frequent number of strokes was 3.

3. 15 toddlers are in Ms. Cabrera's daycare.

4. The most frequent number of pictures is 2.

Estimate center using dot plots - Questions

1. Ms. Munoz had students in three class periods write essays for a diagnostic test. The following dot plots shows the scores from each class. Each dot represents a different student's score.

Order the class periods from least to greatest typical score.

Put the graph with the least typical value on top.



2. The following dot plot shows the number of weekly challenge questions each of the 30 members the Math Bowl team answered correctly last season. Each dot represents a different member.


Which of the following is a typical number of challenge questions one member answered correctly?

Choose 1 answer:

(A) 0 questions

(B) 3 questions

(C) 6 questions

(D) 10 questions

3. The following dot plot shows the number of cavities each of Dr. Vance's 63 patients had last month. Each dot represents a different patient.

Which of the following is a typical number of cavities one patient had?

Choose 1 answer:

(A) 2 cavities

(B) 5 cavities

(C) 7 cavities

(D) 15 cavities

4. The following dot plots show the numbers of people per table at Kingsley's Bingo Hall on three different nights. Each dot represents one of the 20 tables.

Order the nights from least to greatest typical number of people per table.

Put the graph with the least typical value on top.


Estimate center using dot plots - Answers

1. This is the correct sequence of class periods from least to greatest typical score:



2. Of the choices, it is reasonable to say that a member typically answered about 10 challenge questions correctly.

3. Of the choices, it is reasonable to say that a patient typically had about 2 cavities.

4. This is the correct sequence of nights from least to greatest typical number of people per table: