Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 4 of 6 > the value of the standard deviation to 2 decimal plac…

Question

question 4 of 6 > 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 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. this is the difference between the largest and smallest difference in mpg (highway - city) for 21 model year 2020 midsize cars. answer bank

Explanation:

Step1: Recall definitions

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

Step2: Match interpretations

For IQR: "This is the range of the middle half of differences in MPG (highway - city) for 21 model year 2020 midsize cars."
For standard deviation: "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."

Answer:

For IQR: This is the range of the middle half of differences in MPG (highway - city) for 21 model year 2020 midsize cars.
For Standard deviation: 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.