Example 9 Constructing a frequency table for discrete numerical data, taking a small number of values The number of brothers and sisters (siblings) reported by each of the 30 students in Year 11 are as follows: 2 3 4 03 2304 1 00 1 2 3 256 1 1 1 02 02 1 1 453 Construct a table for these data showing both frequency and percentage frequency. Explanation 1 Find the maximum and the minimum values in the data set. Here the minimum is 0 and the maximum is 6. 2 Construct a table as shown, including all the values between the minimum and the maximum. 3 Count the number of 0s, 1s, 2s, etc. in the data set. For example, there are seven 1s. Record these values in the number column. 4 Add the frequencies to find the total. 5 Convert the frequencies to percentages, and record in the per cent (%) column. 6 Total the percentages and record. Solution Number of Frequency siblings Number % 0 6 20.0 1 7 23.3 2 6 20.0 5 16.7 4 3 10.0 5 2 6.7 6 1 3.3 Total 30 100.0 23 For example, percentage of 1s equals 7 x 100 = 23.3%. 30 b. Construct a frequency histogram using the frequency table created in part a. c. What can you analyse about the data distribution?
Example 9 Constructing a frequency table for discrete numerical data, taking a small number of values The number of brothers and sisters (siblings) reported by each of the 30 students in Year 11 are as follows: 2 3 4 03 2304 1 00 1 2 3 256 1 1 1 02 02 1 1 453 Construct a table for these data showing both frequency and percentage frequency. Explanation 1 Find the maximum and the minimum values in the data set. Here the minimum is 0 and the maximum is 6. 2 Construct a table as shown, including all the values between the minimum and the maximum. 3 Count the number of 0s, 1s, 2s, etc. in the data set. For example, there are seven 1s. Record these values in the number column. 4 Add the frequencies to find the total. 5 Convert the frequencies to percentages, and record in the per cent (%) column. 6 Total the percentages and record. Solution Number of Frequency siblings Number % 0 6 20.0 1 7 23.3 2 6 20.0 5 16.7 4 3 10.0 5 2 6.7 6 1 3.3 Total 30 100.0 23 For example, percentage of 1s equals 7 x 100 = 23.3%. 30 b. Construct a frequency histogram using the frequency table created in part a. c. What can you analyse about the data distribution?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
Related questions
Question
-Ensure complete frequency table and histogram using the values below.
-Convert the frequencies into percentages and record in the‘%’column. Using the formula
Percentage formula= count/total x 100
A sample is provided beside the values
Transcribed Image Text:Example 9 Constructing a frequency table for discrete numerical data, taking
a small number of values
The number of brothers and sisters (siblings) reported by each of the 30 students
in Year 11 are as follows:
2 3 4 03
2304
1 00 1 2 3
256 1 1
1 02
02 1 1 453
Construct a table for these data showing both frequency and percentage frequency.
Explanation
1 Find the maximum and the minimum
values in the data set. Here the
minimum is 0 and the maximum is 6.
2 Construct a table as shown, including
all the values between the minimum
and the maximum.
3 Count the number of 0s, 1s, 2s, etc.
in the data set. For example, there are
seven 1s. Record these values in the
number column.
4 Add the frequencies to find the total.
5 Convert the frequencies to percentages,
and record in the per cent (%) column.
6 Total the percentages and record.
Solution
Number of
Frequency
siblings
Number
%
0
6
20.0
1
7
23.3
2
6
20.0
5
16.7
4
3
10.0
5
2
6.7
6
1
3.3
Total
30
100.0
23
For example, percentage of 1s equals
7
x 100 = 23.3%.
30
Transcribed Image Text:b. Construct a frequency histogram using the frequency table created in part a.
c. What can you analyse about the data distribution?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning