Answer to Question #139163 in Statistics and Probability for tiffany

Question

For the set of data below, determine the 5 number summaries. Construct the resulting box and whisker plot.
5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 2,

Answer 1

 Put the values in the data set into increasing order: 

$$-10,1,2,3,3,4,5,6,7,8,9$$

The minimum (the smallest number) is $-10$ and the maximum (the largest number) is $9.$

Find the median. The median is the middle number. The median is $4.$

Find Q1 and Q3.

$$Q1=2, Q3=7$$

Minimum$=-10$, $Q1=2$, median $=4$, $Q3=7$, maximum $=9$.

$Range=max-min=9-(-1)=19$

$Interquartile \ range = Q3 -Q1=7-2=5.$