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This table shows the number of ski runs at selected resorts in Colorado. Find the mean and range of the data.

\begin{tabular}{|l|l|l|l|l|l|}
\hline
\multicolumn{6}{|c|}{Resorts in Colorado - ski runs} \\
\hline
5 & 15 & 54 & 85 & 90 & 105 \\
\hline
\end{tabular}

[tex]\[
\text{mean} = \quad \text{range} =
\][/tex]

Sagot :

GinnyAnsweridn
To find the mean and range of the given data, we follow these steps:

### Step-by-Step Solution:

#### Mean:
1. Add all the data points together: (5 + 15 + 54 + 85 + 90 + 105)

2. Count the number of data points: There are 6 data points in the dataset.

3. Divide the sum of the data points by the number of data points:
[tex]\[ \text{Mean} = \frac{5 + 15 + 54 + 85 + 90 + 105}{6} = \frac{354}{6} = 59.0 \][/tex]

#### Range:
1. Identify the maximum value in the dataset: The maximum value is 105.

2. Identify the minimum value in the dataset: The minimum value is 5.

3. Subtract the minimum value from the maximum value:
[tex]\[ \text{Range} = 105 - 5 = 100 \][/tex]

### Final Answer:
[tex]\[ \text{Mean} = 59.0 \][/tex]
[tex]\[ \text{Range} = 100 \][/tex]
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