Question

the numbers of courses taught per semester by a random sample of university professors are shown in the histogram. make a frequency distribution for the data. then use the table to estimate the sample mean and the sample standard deviation of the data set.

make a frequency distribution for the data.

the sample mean is \\( \bar { x } = \square \\).
(round to one decimal place as needed.)

Explanation:

Step1: Calculate the sum of \( f\times x \)

$$
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$$

Step2: Calculate the sum of \( f \)

$$
LATEXBLOCK1
$$

Step3: Calculate the sample mean \( \bar{x} \)

The formula for the sample mean \( \bar{x}=\frac{\sum(f\times x)}{\sum f} \)

$$ \bar{x}=\frac{176}{63}\approx 2.8 $$

Answer:

\( 2.8 \)