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%

About 3.87%