Question

A study was recently done with a random sample of inmates in Brazil's prison system. The sample was drawn from all seven prisons in the country. As part of the survey, inmates were asked to state their income prior to being arrested. A sample of 35 of those responses are listed below in thousands of dollars.

84	120	84
92	75	50
192	50	120
20	27	100
72	180	120
100	30	50
40	150	50
35	48	50
126	50	25
120	60	200
120	200	140
98	88

1. Construct a frequency distribution with 10 classes. The lower limit of the first class should be 20.
2. Construct a histogram and frequency polygon for the distribution.
3. Comment on the shape of the distribution.
4. What is the mean income of these inmates prior to their arrest?
5. What is the median income?
6. Which is the more appropriate measure of central tendency?

Answer 1

c)As we can see that the Shape of the distribution is Positively skewed.

d) Mean= 90.46 By using EXCEL (AVERAGE FUNCTION)

e) Median= 84 By using EXCEL (MEDIAN FUNCTION)

f) Median will be more appropriate here because it will not fluctuate if extreme values is present.