Use a calculator to find the mean and standard deviation of the data. round to the nearest tenth. 20, 16, 18, 9, 20, 16,14 question 2 options: mean = 16; standard deviation = 12.7 mean = 16.1; standard deviation = 12.7 mean = 15.9; standard deviation = 3.6 mean = 16.1; standard deviation = 3.6

Mean = 16.1

Standard deviation = 3.6

Step-by-step explanation:

To find the mean of this data set, sum up all the values and divide it by the number of elements in the data set:

Mean = (20 + 16 + 18 + 9 + 20 + 16 + 14) / 7 = 16.1

To calculate the standard deviation, firstly subtract the mean from each value in the data set and square the result:

20 - 16.1 = (3.9)^2 = 15.21

16 - 16.1 = (-0.1)^2 = 0.01

18 - 16.1 = (1.9)^2 = 3.61

9 - 16.1 = (-7.1)^2 = 50.41

20 - 16.1 = (3.9)^2 = 15.21

16 - 16.1 = (-0.1)^2 = 0.01

14 - 16.1 = (-2.1)^2 = 4.41

Now add up all the squared values:

15.21 + 0.01 + 3.61 + 50.41 + 15.21 + 0.01 + 4.41 = 88.87

Now take a mean of this:

88.87 / 7 = 12.695

Square root this value to get the value of standard deviation:

= 3.6

Given the data values are 20, 16, 18, 9, 20, 16, 14.

Step A : Finding the Mean

Mean = (20 + 16 + 18 + 9 + 20 + 16 + 14) / 7 = 113/7 = 16.1

Mean = 16.1

Step B : Finding the squares of mean-deviation of data points.

(20-16.1)² , (16-16.1)² , (18-16.1)² , (9-16.1)² , (20-16.1)² , (16-16.1)² , (14-16.1)²

15.21 , 0.01 , 3.61 , 50.41 , 15.21 , 0.01 , 4.41

Step C : Finding mean of values from last step (Also called Variance).

Variance = (15.21 + 0.01 + 3.61 + 50.41 + 15.21 + 0.01 + 4.41) / 7 = 88.87/7 = 12.6957

Variance = 12.7

Step D : Finding square-root of Variance (Also called Standard Deviation)

Standard Deviation =

Standard Deviation = 3.6

Hence, option D is correct, i.e. mean = 16.1; standard deviation = 3.6

3 1/4 + 1 3/4= 5

3 1/4 + 1 3/4= 5the distance between 3 1/4 and -1 3/4 on the number line is 5

3 1/4 + 1 3/4= 5the distance between 3 1/4 and -1 3/4 on the number line is 5The answer is 5

Step-by-step explanation: