WOOHOO! FABULOUS WORK.

EXPLANATION

Number of employees who like reading = 11 + 15 + 15 = 41
Number of employees who like gaming = 17 + 14 + 11 = 42
Number of employees who like social networking = 12 + 11 + 14 = 37
42 > 41, 37
42 is greater than both 41 and 37.
Thus, gaming is the most popular pastime.
Total people surveyed = 3 × 40 = 120
Percentage of people who prefer gaming = $\frac{42}{120} × 100 %$ = 35 %
Estimate the number of people who prefer gaming in the population of 800.
= 35 % 𝑜𝑓 800 = $\frac{35}{100}× 800$ = 280

Hence, the number of people who prefer gaming is 280.

GIVE IT ANOTHER TRY.

EXPLANATION

Number of employees who like reading = 11 + 15 + 15 = 41
Number of employees who like gaming = 17 + 14 + 11 = 42
Number of employees who like social networking = 12 + 11 + 14 = 37
42 > 41, 37
42 is greater than both 41 and 37.
Thus, gaming is the most popular pastime.
Total people surveyed = 3 × 40 = 120
Percentage of people who prefer gaming = $\frac{42}{120} × 100 %$ = 35 %
Estimate the number of people who prefer gaming in the population of 800.
= 35 % 𝑜𝑓 800 = $\frac{35}{100}× 800$ = 280

Hence, the number of people who prefer gaming is 280.

YAY! YOU GOT THE RIGHT ANSWER.

EXPLANATION

For a symmetric distribution, we use the measures of mean and mean absolute deviation to compare populations.

A+ FOR THE EFFORT, BUT WE’RE NOT QUITE THERE YET.

EXPLANATION

For a symmetric distribution, we use the measures of mean and mean absolute deviation to compare populations.

WELL DONE! YOU GOT IT RIGHT.

EXPLANATION

Random sampling is a part of the sampling technique in which each sample has an equal chance of being chosen.
Note: A sample chosen randomly is meant to be an unbiased representation of the total population.
Consequently, each possible sample will have an equal chance of being selected.

OH WELL, A CHANCE TO LEARN IS NEVER A CHANCE WASTED.

EXPLANATION

Random sampling is a part of the sampling technique in which each sample has an equal chance of being chosen.
Note: A sample chosen randomly is meant to be an unbiased representation of the total population.
Consequently, each possible sample will have an equal chance of being selected.

THAT'S ANOTHER ONE FOR THE WIN! GOOD WORK!

EXPLANATION

As you can see, about 25% of the data values in set A are between 80 and 120, and 50% of the data values in set B are between 80 and 100. Hence data set B is more likely to contain a value of 92.

KEEP SOLVING!

EXPLANATION

As you can see, about 25% of the data values in set A are between 80 and 120, and 50% of the data values in set B are between 80 and 100. Hence data set B is more likely to contain a value of 92.

WOW! YOU GOT THE CORRECT ANSWER.

EXPLANATION

Auditor's estimate of faulty calculators = $\frac{100}{450}$

Frequency of faulty calculators based on sampling  = $\frac{8}{50}$

We now need to compare these two fractions to determine the accuracy of the auditor's claim.

$\frac{8}{50}$ = $\frac{x}{450}$

x = $\frac{3600}{50}$

x = 72

We can see thet $\frac{72}{450}$ is less than the auditor's claim of $\frac{100}{450}$.

Hence, the auditor's claim in inaccurate and the answer is No.

UH OH! THE ANSWER IS INCORRECT.

EXPLANATION

Auditor's estimate of faulty calculators = $\frac{100}{450}$

Frequency of faulty calculators based on sampling  = $\frac{8}{50}$

We now need to compare these two fractions to determine the accuracy of the auditor's claim.

$\frac{8}{50}$ = $\frac{x}{450}$

x = $\frac{3600}{50}$

x = 72

We can see thet $\frac{72}{450}$ is less than the auditor's claim of $\frac{100}{450}$.

Hence, the auditor's claim in inaccurate and the answer is No.