Question

Calculate the mean medium interquartile range IQ art and standard deviation for each data set ( I need help with 9 and 10)

Answer 1

Company A

we have the data set

23,29,35,46,51,50,42,37,30

Part 1

Find out the mean

mean=(23+29+35+46+51+50+42+37+30)/9

mean=343/9

mean=38.11

Part 2

Find out the median

Rewrite the data set, from less to greater

23,29,30,35,37,42,46,50,51

the median is the center

so

23,29,30,35,37,42,46,50,51

median=37

Q1=(29+30)/2=29.5

Q3=(46+50)/2=48

IQR=Q3-Q1=48-29.5=18.5

Part 3

Find out the standard deviation

For each data point, find the square of its distance to the mean

(23-38.11)^2=228.3121

(29-38.11)^2=82.9921

(35-38.11)^2=9.6721

(46-38.11)^2=62.2521

(51-38.11)^2=166.1521

(50-38.11)^2=141.3721

(42-38.11)^2=15.1321

(37-38.11)^2=1.2321

(30-38.11)^2=65.7721

Sum the values

Sum=772.8879

Divide by the number of data points

772.8879/9=85.8764

Take the square root

the result is 9.27

so

the standard deviation is 9.27