1) What are the mean, variance, and standard deviation of these values? Round to the nearest tenth.
92, 97, 53, 90, 95, 98
B) mean = 87.5
variance = 245.6
standard deviation = 15.7
2) What are the mean, variance, and standard deviation of these values? Round to the nearest tenth.
x x – modifying above x with bar (x – modifying above x with bar)2
53 5.4 29.2
51 3.4 11.6
48 0.4 0.2
49 1.4 2
37 –10.6 112.4
Responses
b) mean = 47.6
variance = 31
standard deviation = 5.6
3) Susan keeps track of the number of tickets sold for each play presented at the community theater. Within how many standard deviations of the mean do all the values fall?
135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85
Responses
d) 2
4)
The graph below displays how many pieces of candy Timmy and his five friends each received last Halloween. Within how many standard deviations of the mean do the values fall?
b) 2
5) Timmy received 45 pieces of candy, Anna received 60, Jerry received 30, Linda received 65, Mark received 55, and Sarah received 40 pieces of candy. Calculate the mean, variance, and standard deviation of these values. Round to the nearest tenth.
Mean = 50.8
Variance = 183.6
Standard deviation = 13.6