. A national bank has six tellers available to serve customers. The data in the
ID: 3202340 • Letter: #
Question
. A national bank has six tellers available to serve customers. The data in the following table provide the number of busy tellers observed during 25 spot checks.
6, 6, 3, 4, 3, 5, 1, 5, 5, 4, 4, 5, 2, 0, 2, 1, 5, 4, 6, 3, 5, 5, 3, 4, 6
Draw a relative-frequency table.
Describe what a relative frequency histogram based on part (a) would look like (note: You may want to draw one, even though you can't submit it). Choose an appropriately sized bin width.
Classify the shape of the distribution both generally and specifically.
Explanation / Answer
Class
Frequency
Relative Frequency
0 - 2
3
0.12
2 - 4
6
0.24
4 - 6
12
0.48
6 - 8
4
0.16
3/25 = 0.12
6/25 = 0.24
12/25 = 0.48
4/25 = 0.16
Here the bin size is 2
Here we draw the histogram and we find that the shape of the distribution is negatively skewed. So this distribution is not symmetrical. The mean, median and mode are not equal. Mode is greater than the median value and median is greater than the mean value.
Class
Frequency
Relative Frequency
0 - 2
3
0.12
2 - 4
6
0.24
4 - 6
12
0.48
6 - 8
4
0.16
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