Question

analyzing means of random samples
helena is in charge of selling tickets for the upcoming play at willowbrook school. each drama club member has been asked to sell tickets to friends and family members, and helena wants to know approximately how many tickets have been sold so far.
first she asked five drama club members in her homeroom how many tickets they had sold. then she took ten random samples from the entire drama club of 75 students.
find the mean to the nearest tenth for each set of data.
homeroom data of tickets sold:
20, 15, 19, 16, 10
calculate the mean:
drama club data of tickets sold:
19, 23, 11, 30, 27, 27, 22, 26, 16, 24
calculate the mean:

Explanation:

Step1: Sum homeroom ticket data

$20 + 15 + 19 + 16 + 10 = 80$

Step2: Calculate homeroom mean

$\text{Mean} = \frac{80}{5} = 16.0$

Step3: Sum drama club ticket data

$19 + 23 + 11 + 30 + 27 + 27 + 22 + 26 + 16 + 24 = 225$

Step4: Calculate drama club mean

$\text{Mean} = \frac{225}{10} = 22.5$

Step5: Estimate total tickets sold

$\text{Total} = 22.5 \times 75 = 1687.5$

Answer:

Homeroom mean: 16.0
Drama club sample mean: 22.5
Approximate total tickets sold: 1687.5