Question

the distances (in yards) for nine holes of a golf course are listed below.

335 392 408 523 147 503 177 377 360

complete parts (a) through (d) below.

(a) find the mean and median of the data.

the mean of the data is 358

the median of the data is

Explanation:

List the dataset

Using the Mean Calculation and Median Calculation knowledge points
The given dataset represents the distances (in yards) for nine holes of a golf course:

$$ \{335, 392, 408, 523, 147, 503, 177, 377, 360\} $$

The total number of data points is \(n = 9\).

Sort the dataset

Using the Median Calculation knowledge point
To find the median, we arrange the data in ascending order:

$$ 147, 177, 335, 360, 377, 392, 408, 503, 523 $$

Find the median value

Using the Median Calculation knowledge point
Since the number of observations \(n = 9\) is odd, the median is the middle value at position \(\frac{n+1}{2} = \frac{9+1}{2} = 5\):

$$ \text{Median} = x_{(5)} = 377 $$

Answer:

The mean of the data is 358.
The median of the data is <blank>377</blank>.