Question

construct a box plot for these data and identify any outliers : 25 22 26 23 27 26 28 18 25 24 12 . this is statistics course if you know can you show me thx

Answer 1

put the numbers in numerical order...
12, 18, 22, 23, 24, 25, 25, 26, 26, 27, 28

the median (middle number) also known as Q2 = 25

Q1 is the middle number of all the numbers before the median :
12, 18, 22, 23, 24 , so Q1 = 22

Q3 is the middle number of all the numbers after the median :
25, 26, 26, 27, 28, so Q3 = 26

Lower extreme (lowest number) is 12
Upper extreme (highest number) is 28

Interquartile range is the length of the box. An outlier is any value that lies more then 1 1/2 times the length of the box from either end of the box.
If the data point is below Q1 - 1.5 x IQR or above Q3 + 1.5 x IQR.

The IQR is Q3 - Q1, which is 26 - 22 = 4

Outliers would be :
Q1 - 1.5(4) Q3 + 1.5(4)
22 - 1.5(4) 26 + 1.5(4)
22 - 6 = 16 26 + 6 = 32

so any number below 16 or above 32 are your outliers.
Therefore, your outiers are 12.

Answer 2

prefect thank so much. my teacher show more complicate

Answer 3

you already take statics or you take it now? do you often get online? i really need have with statistics.

Answer 4

I can't draw very well...lol..