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.

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Mathematics

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8 July, 00:47

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.

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Keith · Answer 1

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

Step-by-step explanation:

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. 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.