Question

In each of the following data sets, tell whether the outlier seems certain to be due to an error, or whether it could conceivably be correct. (a) The length of a rod is measured five times. The readings in centimeters are 48.5, 47.2, 4.91, 49.5, and 46.3.(b) The prices of five cars on dealer's lot are $25,000, $30,000, $42,000, $110,000 and $31,000.

Answer 1

1. in a the measure 4.91 can be considered an outlier.
2. in b the value 110,000 can be correct

Explanation:

1. a the errors of a measurement follow a normal distribution, if we find the mean and the corresponding variance we will find that the value 4.91 is very far from the mean, showing that is an error.
2. in b the prices of cars can vary depending of the model of the cars, this prices are taken out of 5 different cars so it's possible for a car to be more expensive.