Question

The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). One hundred of these amounts are shown in the table below. These amounts will form the population for this question.
A random number table was used to generate the following random sample of dollar amounts:

7.43, 5.38, 6.39, 6.53, 4.72, 5.58, 3.63, 7.43, 5.29, 5.70

What is the mean of the given random sample? Round your answer to the hundredths place.



5.8

5.81

5.80

5.00

Answer 1

Given:

The random number table was used to generate the random sample of dollar amounts. The samples are 7.43, 5.38, 6.39, 6.53, 4.72, 5.58, 3.63, 7.43, 5.29, 5.70

We need to determine the mean of the given random sample.

Mean of the random sample:

The mean of the random sample can be determined using the formula,

$Mean=\frac{\sum x_i}{n}$

Substituting the values, we have;

$Mean=\frac{7.43+5.38+ 6.39+ 6.53+ 4.72+5.58+3.63+ 7.43+5.29+5.70}{10}$

$Mean=\frac{58.08}{10}$

$Mean=5.808$

Rounding off to the neatest hundredth, we get;

$Mean=5.81$

Therefore, the mean of the random sample is 5.81

Hence, Option B is the correct answer.