MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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-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
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
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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
b. Construct a frequency histogram using the frequency table created in part a.
c. What can you analyse about the data distribution?
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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?
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