Question

the distances (in yards) for nine holes of a golf course are listed below.
335 392 408 523 147 503 177 377 380
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 377.
(b) convert the distances to feet. then rework part (a).
the mean of the data in feet is .

Explanation:

Identify given values and conversion factor

Using the Percentage Calculation knowledge point
We are given the mean of the data in yards:

$$ \text{Mean}_{\text{yards}} = 358\text{ yards} $$

To convert yards to feet, we use the standard conversion factor:

$$ 1\text{ yard} = 3\text{ feet} $$

Apply linear transformation to the mean

Using the Mean Calculation knowledge point
Multiplying every data value by a constant \(c\) scales the mean by that same constant \(c\):

$$ \text{Mean}_{\text{feet}} = \text{Mean}_{\text{yards}} \times 3 $$

$$ \text{Mean}_{\text{feet}} = 358 \times 3 = 1074 $$

Answer:

(b) Convert the distances to feet. Then rework part (a).

The mean of the data in feet is <blank>1074</blank>.