To draw: a relative frequency bar diagram and describe the data based on the information on brand of 45 cameras bought.
Answer to Problem 13E
Canon brand is bought by maximum number of people ( around51%). Next comes Nikon which is bought by 24.44%. the camera brand which is bought by least number of people (4.44 % share) Olympus.
Explanation of Solution
Given:
Canon | Sony | Canon | Nikon | Fujifilm |
Nikon | Canon | Sony | Canon | Canon |
Nikon | Canon | Nikon | Canon | Canon |
Canon | Nikon | Fujifilm | Canon | Nikon |
Nikon | Canon | Canon | Canon | Canon |
Olympus | Canon | Canon | Canon | Nikon |
Olympus | Sony | Canon | Canon | Sony |
Canon | Nikon | Sony | Canon | Fujifilm |
Nikon | Canon | Nikon | Canon | Sony |
For the given data, a frequency of various brands of cameras bought is found out. This is simply the number of times a particular camera brand is bought for example; Olympus is bought for 2 times. This indicates number of times Olympus occurs in the data set. A relative frequency is number of times a particular brand is bought divided by number of data points. For Olympus it is 2/45 = 4.44%. So we list out various brands and their relative frequency in an excel sheet as below.
Brand of camera | Frequency | Relative frequency |
Canon | 23 | (23/45)51.11% |
Fujifilm | 3 | (3/45)6.67% |
Nikon | 11 | (11/45)24.44% |
Olympus | 2 | 4.44% |
Sony | 6 | 13.33% |
Total | 45 | 100.00% |
A frequency bar diagram is drawn by selecting the column 1 and 3 of above table.
Canon brand is bought by maximum number of people ( around51%). Next comes Nikon which is bought by 24.44%. the camera brand which is bought by least number of people Olympus.
Conclusion:
Chapter 1 Solutions
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
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