Question

Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33, Mean= Median= Range= interquartile range= I need help please

Answer 1

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 $=\frac{11+13+17+20+22+25+27+31+31+33}{10}$

          $=\frac{230}{10}$

          =23

The$(\frac{n}{2})$ th term= the 5th term

                        =22

The  $(\frac{n}{2}+1)^{th}$ term = The $6^{th$ term

                               = 25

The median = $\frac{22+25}{2}$

                   =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