How To Draw A Dot Plot

Video and solutions to help grade half dozen students learn how to create a dot plot of a given data set and summarize a given data set using equal length intervals and construct a frequency table.

New York State Common Cadre Math Module 6, Grade 6, Lesson 3

Lesson 3 Student Outcomes • Students create a dot plot of a given data set.
• Students summarize a given data set using equal length intervals and construct a frequency tabular array.
• Based on a frequency tabular array, students describe the distribution.

Lesson 3 Summary

This lesson described how to make a dot plot. This plot starts with a number line labeled from the smallest to the largest value. Then, a dot is placed above the number on the number line for each value in your information.
This lesson also described how to make a frequency table. A frequency table consists of three columns. The kickoff cavalcade contains all the values of the data listed in club from smallest to largest. The second cavalcade is the tally column, and the third column is the number of tallies for each data value.

Lesson three Classwork

Instance i: Hours of Sleep
Robert, a sixth grader at Roosevelt Centre School, unremarkably goes to bed around 10:00 p.m. and gets up around 6:00 a.thousand. to go ready for school. That means that he gets about viii hours of sleep on a school night. He decided to investigate the statistical question: How many hours per nighttime do sixth graders usually sleep when they have schoolhouse the adjacent day?
Robert took a survey of 6th graders and collected the following data to respond the question:
7 eight 5 9 9 nine 7 vii 10 ten xi 8 8 8 12 6 11 10 8 8 nine 9 9 8 10 9 9 8

Robert decided to make a dot plot of the data to assist him answer his statistical question. Robert first drew a number line and labeled it from 5 to 12 to match the lowest and highest number of hours slept.
He then placed a dot above for the beginning piece of data he collected. He connected to place dots higher up the numbers until each number was represented past a dot.

Exercises 1–9

Consummate Robert'due south dot plot by placing a dot above the number on the number line for each number of hours slept. If there is already a dot above a number, and so add another dot above the dot already there.
What are the least and the most hours of sleep reported in the survey of 6th graders?
What is the most common number of hours slept?
How many hours of sleep describes the center of the data?
Call back most how many hours of sleep you lot commonly get on a schoolhouse night. How does your number compare with the number of hours of sleep from the survey of 6th graders?
Here are the data for the number of hours 6th graders sleep when they don't have schoolhouse the next twenty-four hour period
Make a dot plot of the number of hours slept when at that place is no school the next twenty-four hours.
How many hours of sleep with no school the next day describe the center of the data?
What are the least and most hours slept with no school the adjacent mean solar day reported in the survey?
Exercise students sleep longer when they don't accept school the next day than they do when they do have school the side by side 24-hour interval? Explain your answer using the data in both dot plots.

Example ii: Edifice and Interpreting a Frequency Table
A group of 6th graders investigated the statistical question: "How many hours per week do half-dozen sport or outdoor game?"
Hither are the information the students collected from a sample of 26 sixth graders showing the number of hours per calendar week spent playing a sport or a game outdoors:
To assist organize the information, the students placed the number of hours into a frequency table. A frequency tabular array lists items and how often each item occurs.
To build a frequency table, first draw three columns. Characterization i column "Number of Hours Playing a Sport/Game," label the second column "Tally," and the third column "Frequency." Since the to the lowest degree number of hours was 0, and the most was 12, listing the numbers from 0 to 12 under the "Number of Hours" column.
As you read each number of hours from the survey, place a tally mark reverse that number. The tabular array shows a tally mark for the first number 3.

Exercises ten–15

Complete the tally marking column.
For each number of hours, find the total number of tally marks and identify this in the frequency column.
Brand a dot plot of the number of hours playing a sport or playing outdoors.
What number of hours describes the center of the data?
How many 6th graders reported that they spend viii or more than hours a calendar week playing a sport or playing outdoors?
The sixth graders wanted to answer the question, "How many hours do 6th graders spend per calendar week playing a sport or playing an outdoor game?" Using the frequency tabular array and the dot plot, how would you lot reply the 6th graders' question?

Prove Step-by-stride Solutions

Trouble Set

The information below are the number of goals scored by a professional person indoor soccer team over its last 23 games.
eight, sixteen, 10, 9, 11, xi, 10, 15, xvi, xi, 15, 13, 8, 9, 11, 9, 8, 11, xvi, xv, 10, nine, 12
a. Brand a dot plot of the number of goals scored.
b. What number of goals describes the center of the data?
c. What is the least and most number of goals scored by the team?
d. Over the 23 games played, the team lost x games. Circle the dots on the plot that yous call back represent the games that the team lost. Explicate your reply.
A 6th grader rolled two number cubes 21 times. The student found the sum of the two numbers that he rolled each time. The following are the sums for the 21 rolls of the 2 number cubes.
nine, 2, 4, half dozen, 5, 7, 8, 11, 9, iv, vi, 5, 7, 7, 8, 8, 7, five, 7, 6, 6
a. Complete the frequency tabular array.
b. What sum describes the center of the information?
c. What sum occurred nearly often for these 21 rolls of the number cubes?
The dot plot below shows the number of raisins in 25 small boxes of raisins.
a. Consummate the frequency table.
b. Another pupil opened up a box of raisins and reported that it had 63 raisins. Practice you call up that this student had the same size box of raisins? Why or why not?

Bear witness Pace-past-step Solutions

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