question below data
6.3
6.4
7.7
8.4
8.5
8.8
8.9
9
9.1
10
10.1
10.2
10.6
10.6
10.7
10.7
10.8
10.9
11.1
11.2
11.2
11.4
11.9
11.9
12.2
13.1
Calculate and report the cumulative relative frequency table with bins starting at the minimum value and widths of .5?
data | Upper Bound | Lower Bound | frequency | Relative Frequncy | cumulative Relative Frequncy | |
6.3 | 10.7 | 6.3 | 6.8 | 2 | 0.083333333 | 0.083333333 |
6.4 | 10.7 | 6.8 | 7.3 | 0 | 0 | 0.083333333 |
7.7 | 10.8 | 7.3 | 7.8 | 1 | 0.041666667 | 0.125 |
8.4 | 10.9 | 7.8 | 8.3 | 0 | 0 | 0.125 |
8.5 | 11.1 | 8.3 | 8.8 | 1 | 0.041666667 | 0.166666667 |
8.8 | 11.2 | 8.8 | 9.3 | 4 | 0.166666667 | 0.333333333 |
8.9 | 11.2 | 9.3 | 9.8 | 0 | 0 | 0.333333333 |
9 | 11.4 | 9.8 | 10.3 | 3 | 0.125 | 0.458333333 |
9.1 | 11.9 | 10.3 | 10.8 | 4 | 0.166666667 | 0.625 |
10 | 11.9 | 10.8 | 11.3 | 4 | 0.166666667 | 0.791666667 |
10.1 | 12.2 | 11.3 | 11.8 | 1 | 0.041666667 | 0.833333333 |
10.2 | 13.1 | 11.8 | 12.3 | 3 | 0.125 | 0.958333333 |
10.6 | 12.3 | 12.8 | 0 | 0 | 0.958333333 | |
10.6 | 12.8 | 13.3 | 1 | 0.041666667 | 1 | |
Total | 24 | 1 | ||||
Step1 we create the upper and lower bins using minimum value of given data with width 0.5 | ||||||
Step2 To Find the frequency for each bins | ||||||
where A frequency is the number of times a given datum occurs in a data set. | create the | |||||
step3 To Find the relative frequencies, divide each frequency by the total number of | ||||||
Observation in the data - in this case, 24. Relative frequencies can be | ||||||
written as fractions, percents, or decimals. | ||||||
Step4 To Find the cumulative relative frequencies, add all the previous relative frequencies | ||||||
to the relative frequency for the current row. |
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