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?

1 Answer
Jul 25, 2018

Answer:

#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#