please show work 23. A recent UMUC criminal justice degree-earner now works for
ID: 3056963 • Letter: P
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23. A recent UMUC criminal justice degree-earner now works for the State of Tennessota. She is researching the length of time between defendants' arrests and initial trial dates in six of Tennessota's counties to see if the counties need additional criminal justice resources. Recorded (a) State the mode (if one exists) (b) Find the median. Show work/explanation. (c) Determine the sample mean. Show work (d) Using the sample mean found in part (c), and given that the sample standard deviation of the data set above is 16.9, what percentage of the data set falls within one standard deviation of the mean? Show work/explanation. A. 83.3% C. 50.0% B. 66.7% D. 68.3%Explanation / Answer
a) Mode would be 44
B) Median = (44+52)/2 = 48
c) Sample mean = (41+44+44+52+64+85)/6 =55
d) Percentage of data within one standard deviations
(55-16.9, 55+16.9)
= (38.1, 71.9)
so, no of data falls within this interval are 5
Percentage of data = (5/6)*100
= 83.3%
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