Question 1) Below is a histogram for rents paid in Logan. Find the height of the missing block from 350 to 400. Estimate the percentage of rents less than $400 per month. Estimate the percentage of rents less than $425 per month. Approximately, what is the average rent? Estimate the median rent.
Question 2) One question on the 2000 census form asks how far you have to commute to work. When the data is analyzed, it is found that the average distance is 13.3 miles, with an SD of 16.8 miles.
Which of the following sketches do you think best approximates the histogram for the distance traveled? Do you think the median distance traveled would be smaller than 13.3 miles, larger than 13.3 miles, or about 13.3 miles?
Question 3) A table for the scores on a statistics midterm is given below. The class intervals include the left endpoint, but not the right. Draw the histogram.
| Points |
Number of Student |
width |
height |
| 0-50 |
25 |
|
|
| 50-70 |
100 |
|
|
| 70-80 |
75 |
|
|
| 80-90 |
25 |
|
|
| 90-100 |
25 |
|
|
Question 4) The heights (inches) for the starting five on a women's basketball team are 66, 67, 69, 71, and 72.
a) Find their average height.
b) Find the SD of the list.
Question 5) The average of a list of numbers is 1943 and the SD is 68. If you add 2012 to each number on the list, find the average and SD of the new list.
Question 6) The average of a list of 12 numbers is 9 and the SD is equal to 3. If the numbers 6 and 12 are included with this list of numbers, what is the average and SD of the new list?