Answer:
Mean=23
Median =23.5
Range=22
Interquartile range = 14
Step-by-step explanation:
Given set of data
11,13,17,20,22,25,27,31,31,33
Mean ![=\frac{11+13+17+20+22+25+27+31+31+33}{10}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B11%2B13%2B17%2B20%2B22%2B25%2B27%2B31%2B31%2B33%7D%7B10%7D)
![=\frac{230}{10}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B230%7D%7B10%7D)
=23
The
th term= the 5th term
=22
The
term = The
term
= 25
The median = ![\frac{22+25}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B22%2B25%7D%7B2%7D)
=23.5
Range = Highest term - lowest term
=33- 11
=22
Here lower half {11,13,17,20,22}
The middle number of lower half is first quartile.
Q₁ = 17
And lower half is{25,27,31,31,33}
The middle number of upper half is third quartile.
Q₃=31
Interquartile Range =Q₃-Q₁
=31-17
=14