The data shown here represent the anxiety test scores of 36 random clients entered a mental health clinic. Construct a frequency distribution using 4 classes, analyze the distribution, and provide histogram, polygon, and ogive graphs. what are the relative frequency and cumulative relative frequency as well as midpoint and class boundary
7.75 | 0 | 10 | 5 | 5 | 0 |
8.25 | 4.5 | 8.5 | 5 | 7 | 8 |
4 | 7.25 | 7 | 6.25 | 7.5 | 0 |
9.5 | 4 | 6 | 0 | 6.25 | 8.25 |
6.25 | 8.25 | 3 | 7.5 | 9.25 | 7.75 |
3 | 7.25 | 7.25 | 7 | 11 | 0 |
Hello Sir/ Mam
1. Frequency Distribution
Classes | Frequency |
0 - 2.75 | 5 |
2.75 - 5.5 | 8 |
5.5 - 8.25 | 18 |
8.25 - 11 | 5 |
2. The distribution gives a rough indication of being a normal distribution.
3.
4.
5.
6.
Lower Class | Upper Boundary | Midpoint | Frequency | Relative Frequency | Cumulative Relative Frequency |
0.000 | 2.750 | 1.375 | 5.000 | 0.139 | 0.139 |
2.750 | 5.500 | 4.125 | 8.000 | 0.222 | 0.361 |
5.500 | 8.250 | 6.875 | 18.000 | 0.500 | 0.861 |
8.250 | 11.000 | 9.625 | 5.000 | 0.139 | 1.000 |
Total | 36 |
I hope this solves your doubt.
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