A sociologist studying the justice system has just written a paper detailing he findings after examining the records of thousands of inmates. Among other things, she looked at the time spent in prison by inmates who had been sentenced to 5– 10 years for a felony conviction. The histogram below, which appears in her paper, summarizes the time spent in prison for each of 50 such inmates. Frequency 20 20- 15 15+ 10- 5 5 5 5+ 0- 20 60 Time spent in prison (in months) 40 80 100 120 Based on this histogram, estimate the standard deviation of the sample of 50 prison terms. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place. (If necessary, consult a list of formulas.)

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A sociologist studying the justice system has just written a paper detailing her
findings after examining the records of thousands of inmates. Among other
things, she looked at the time spent in prison by inmates who had been
sentenced to 5– 10 years for a felony conviction. The histogram below, which
appears in her paper, summarizes the time spent in prison for each of 50 such
inmates.
Frequency
20
20-
15
15-
10-
5
5
5
5+
0-
20
60
Time spent in prison (in months)
40
80
100
120
Based on this histogram, estimate the standard deviation of the sample of 50
prison terms.
Carry your intermediate computations to at least four decimal places, and
round your answer to at least one decimal place.
(If necessary, consult a list of formulas.)
Transcribed Image Text:A sociologist studying the justice system has just written a paper detailing her findings after examining the records of thousands of inmates. Among other things, she looked at the time spent in prison by inmates who had been sentenced to 5– 10 years for a felony conviction. The histogram below, which appears in her paper, summarizes the time spent in prison for each of 50 such inmates. Frequency 20 20- 15 15- 10- 5 5 5 5+ 0- 20 60 Time spent in prison (in months) 40 80 100 120 Based on this histogram, estimate the standard deviation of the sample of 50 prison terms. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place. (If necessary, consult a list of formulas.)
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