Question

How do you find the first and third quartiles, Q1 and Q3, of the following set of numbers 10, 4, 9, 14, 6, 11, 6, 1, 7, 6?

Answer 1

`Q_1=6,Q_3=10`

Explanation:

`"We require the data to be in ascending order"`

`1,color(white)(x)4,color(white)(x)color(red)(6),color(white)(x)6,color(white)(x)6,color(red)(uarr)color(white)(x)7,color(white)(x)9,color(white)(x)color(red)(10),color(white)(x)11,color(white)(x)14`

`"Find the median of the data set"`

`"the median is the middle entry in the data set. If not a "`
`"value then the average of the values either side of the middle"`

`"In this case the median "=(6+7)/2=6.5`

`"The quartiles are the middle entries to the left and right"`
`"of the median"`

`Q_1=6" and "Q_3=10`