Problem 11E

Archaeology The depths (in inches) at which 10 artifacts are found are listed.

20.7 |
24.8 |
30.5 |
26.2 |
36.0 |

34.3 |
30.3 |
29.5 |
27.0 |
38.5 |

(a) Find the range of the data set.

(b) Change 38.5 to 60.5 and find the range of the new data set.

Answer

Step 1 of 2

(a)

We are asked to find the range of the data set.

The depths(in inches) at which 10 artifacts are found are listed.

20.7 |
24.8 |
30.5 |
26.2 |
36.0 |

34.3 |
30.3 |
29.5 |
27.0 |
38.5 |

The range of a data set is the difference between the maximum and minimum data entries in the set.

To find the range, the data must be quantitative.

Range = (Maximum data entry) - (Minimum data entry)

Range = 38.5 - 20.7 = 17.8

Hence the range of the data set is .