Question

select the correct answer from each drop - down menu. 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.

Explanation:

Step1: Arrange data in ascending order

$1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11$

Step2: Find the median

Since there are 7 data - points (an odd number), the median is the 4th value. So the median is $1.84$.

Step3: Find the first and third quartiles

The lower half of the data is $1.61, 1.75, 1.79$. The first quartile $Q_1$ is the median of the lower - half, so $Q_1 = 1.75$.
The upper half of the data is $1.96, 2.09, 2.11$. The third quartile $Q_3$ is the median of the upper - half, so $Q_3=2.09$.

Step4: Calculate the inter - quartile range

The difference between the first and third quartiles (inter - quartile range) is $Q_3 - Q_1=2.09 - 1.75 = 0.34$.

Answer:

The median gasoline price is $1.84$. The difference of the first and third quartiles in this set of gas prices is $0.34$.