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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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