Problem#1. make a stem and leaf plot of the below data set

60 105 95 80 90 100 75 70 84 98 102 70

65 88 90 75 78 94 110 121 95 80 76 108

Problem#2. make a stem and leaf plot of the below data set

75 85 90 80 87 71 82 88 95 91 73 80

83 92 94 71 75 91 79 95 87 76 91 85

Problem#3. The heights (in inches) of the players on a professional basketball team are shown as follows:

74 78 81 87 81 80 77 80 85 78 80 83 75 81 73

A) Find the sum of the data entries?

B) Divide the sum by the number of data entries. What is the mean height?

C) Find the median height for the above data set?

D) Find the mode of the above data set.

Problem#4. The ages of a sample of fans at a rock concert are listed

24 27 19 21 18 23 21 20 19 33 30 29 21 18 24 26 38 19 35 34 33 30 21 27

A) What is the mean age?

B) Order the data entries?

C) Find the median data entry?

Please round off your final answer (only) to two digits for mean, variance and standard deviation in problem# 5, problem#6 and problem#7.

Problem#5. Calculate the mean, variance and standard deviation of final exam scores given below of some students in MAT150.5course? Use the below data as population.

90 85 74 91 89 66

x x-n (x-n)^2

Problem#6. Calculate the mean, variance and standard deviation of the number of children per household in a region. Use the below data as population.

x Frequency f x . f x-n (x-n)^2 (x-n)^2 . f

0 10

1 19

2 7

3 7

4 5

5 1

6 1

Problem#7. Calculate the mean, variance and standard deviation of the following frequency distribution. Use the below data as population.

Class Frequency f x . f x-n (x-n)^2 (x-n)^2 . f

0-99 300

100-199 200

200-299 100

300-399 50

400-499 60

500-599 70