Answer all 3 questions
Find the mean, variance, and standard deviation for the following data set. Round to the nearest tenth.
55, 87, 62, 85, 93, 75
(1 point)
Responses
mean = 80
variance = 199.5
standard deviation = 14.1
mean = 80 variance = 199.5 standard deviation = 14.1
mean = 76.2
variance = 188.1
standard deviation = 15.0
mean = 76.2 variance = 188.1 standard deviation = 15.0
mean = 76.2
variance = 188.1
standard deviation = 13.7
mean = 76.2 variance = 188.1 standard deviation = 13.7
mean = 87.5
variance = 73
standard deviation = 8.5
mean = 87.5 variance = 73 standard deviation = 8.5
Question 2
Find the value of the 20th and 75th percentiles of the data.
24,56,11,89,37,65,42,3,78,91,15,28,50,6,73,20,44,5,67,82
(2 points)
a) 20th percentile:
b) 75th percentile:
Question 3
A poll shows that 76% of voters favor an initiative. If 7 voters are selected at random, what is the probability that exactly 4 of them will vote in favor?(1 point)
Responses
About 35%
About 35%
About 3.87%
About 3.87%
About 76%
About 76%
About 16.1%
1 answer
b) 75th percentile: 73.4
The probability that exactly 4 out of 7 voters will support the initiative is about 3.87%.