24.5k views
5 votes
You test eight automobiles of the same make and model and find their mileage ratings to be 2828 2930 3334 and 1,000,000 miles per gallon arranged in order from smallest to largest if you use in for an tile static statistics and reject the outlier to predict what mileage consumers can expect when they buy this type of car what value would you predict

1 Answer

4 votes

Final answer:

After removing the outlier of 1,000,000 mpg, the average mileage rating of the remaining cars is calculated to be approximately 30.33 miles per gallon, which may be expected by consumers.

Step-by-step explanation:

When predicting the mileage consumers can expect, one must first remove outliers from the data set as they can greatly skew the results. In this case, the automobile with a mileage rating of 1,000,000 miles per gallon is clearly an outlier and should be excluded from the analysis.

After removing the outlier, we calculate the mean mileage rating of the remaining automobiles. To find this average, you add up the mileage ratings of all the cars and divide by the number of cars. For the mileage ratings provided (2828, 2930, 3334), the calculation would be as follows:

  1. Add the mileages: 28 + 28 + 29 + 30 + 33 + 34 = 182
  2. Divide by the number of cars (6): 182 / 6 = 30.33 mpg

This results in an average mileage rating of about 30.33 miles per gallon, which is what consumers can expect. Note that the number '1,000,000' was excluded from the calculation.

User Russ Thomas
by
8.8k points