Math  /  Data & Statistics

QuestionTen used trail bikes are randomly selected from a bike shop, and the odometer reading of each (in miles) is recorded as follows. 19021036531899782359218369223658\begin{array}{lllllllllll}1902 & 103 & 653 & 1899 & 782 & 359 & 218 & 369 & 223 & 658\end{array} Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Part: 0/30 / 3
Part 1 of 3
The range is \square miles.

Studdy Solution

STEP 1

1. The data set consists of ten odometer readings: 1902,103,653,1899,782,359,218,369,223,6581902, 103, 653, 1899, 782, 359, 218, 369, 223, 658.
2. The range is calculated as the difference between the maximum and minimum values in the data set.

STEP 2

1. Identify the maximum and minimum values in the data set.
2. Calculate the range.

STEP 3

List the data points:
1902,103,653,1899,782,359,218,369,223,658 1902, 103, 653, 1899, 782, 359, 218, 369, 223, 658

STEP 4

Identify the maximum value:
Maximum=1902 \text{Maximum} = 1902

STEP 5

Identify the minimum value:
Minimum=103 \text{Minimum} = 103

STEP 6

Calculate the range:
Range=MaximumMinimum=1902103=1799 \text{Range} = \text{Maximum} - \text{Minimum} = 1902 - 103 = 1799
The range is:
1799 \boxed{1799}

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