Question

The iq test scores of 10 randomly chosen fifth – grade students are as follows, 145, 139, 126, 122, 125, 130, 96, 110, 118, 118 the five – number summary of the 10 iq scores is,

Answer 1

I didn't get your question

Answer 2

Answer: The five-number summary will be:-

Least Number = 96

First quartile =118

Second quartile= Median =123.5

Third quartile=130

Largest number = 145

Step-by-step explanation:

Given data :  145, 139, 126, 122, 125, 130, 96, 110, 118, 118

First we arrange the given data in ascending order, we get

$96,\ 110,\ 118,\ 118,\ 122,\ 125,\ 126,\ 130,\ 139,\ 145$

The least number = 96

The largest number = 145

Median = Mean of 5th and 6th term  [Since data is in even order]

$=\dfrac{122+125}{2}=123.5$

First quartile =Median of lower half $[96,\ 110,\ 118,\ 118,\ 122]$

$\\\Rightarrow\ Q_1=118$

Third quartile=Median of upper half $[125,\ 126,\ 130,\ 139,\ 145]$

$\\\Rightarrow\ Q_3=130$