Question

The gasoline prices in seven states are $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84.

The median gasoline price is ? The difference of the first and third quartiles in this set of gas prices is ?

Answer 1

Median: 1.84

Difference between 1st and 2nd quartiles: 0.34

Explanation:

Median: "The middle value of a sorted list of numbers"

List the number from least to greatest.

1.61, 1.75, 1.79, 1.84, 1. 96, 2.09, 2.11

The median is 1.84

To find the first and third quartiles you split the data into two halves at the median.

1st halve/ 1st quartile range: 1.61, 1.75, 1.79

2nd halve/ 2nd quartile range: 1.96, 2.09, 2.11

Then find the median of both

1st quartile: 1.75

2nd quartile: 2.09

Now,

1.75 - 2.09 = 0.34