What is the standard deviation of the data set given below 5 7 9 11 13

3.1623 (sqrt(10))

Step-by-step explanation:

Standard Deviation is calculated by first squaring the differences between the observations and the mean and then taking the square root of the sum of the squares of the differences divided by the number of observations - 1.

Mean = Sum of Observations/Total Observations

Mean = (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9.

Square of the mean = 9^2 = 81.

Now subtracting the mean from each observation and squaring it gives:

(5 - 9)^2 = (-4)^2 = 16

(7 - 9)^2 = (-2)^2 = 4

(9 - 9)^2 = (0)^2 = 0

(11 - 9)^2 = (2)^2 = 4

(13 - 9)^2 = (4)^2 = 16

Sum of squares = 16 + 4 + 0 + 4 + 16 = 40.

Standard deviation = sqrt(40/4) = sqrt(10) = 3.16 (correct to 2 decimal places).

Therefore, answer is 3.16!!!

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13