Question

find the interquartile range and standard deviation of this distribution. do not round the value of the interquartile range. round the value of the standard deviation to 2 decimal places. then interpret these values by placing the two correct interpretations in the correct boxes.

$iqr = 3$

standard deviation = $2.22$

$iqr$

this is the range of the middle half of differences in mpg (highway - city) for 21 model year 2020 midsize cars.

standard deviation

this is the difference between the largest and smallest difference in mpg (highway - city) for 21 model year 2020 midsize cars.

answer bank

this tells us the amount by which the difference in mpg (highway - city) for 21 model year 2020 midsize cars typically varies from the mean difference.

Explanation:

Step1: Recall definitions

The inter - quartile range (IQR) is the range of the middle 50% of the data. The standard deviation measures the amount by which data values typically vary from the mean.

Step2: Interpret IQR

IQR represents the range of the middle half of differences in MPG (highway - city) for 21 model year 2020 midsize cars.

Step3: Interpret standard deviation

Standard deviation tells us the amount by which the difference in MPG (highway - city) for 21 model year 2020 midsize cars typically varies from the mean difference.

Answer:

IQR interpretation: This is the range of the middle half of differences in MPG (highway - city) for 21 model year 2020 midsize cars.
Standard deviation interpretation: This tells us the amount by which the difference in MPG (highway - city) for 21 model year 2020 midsize cars typically varies from the mean difference.