Question

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: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points.

Step2: Calculate mean for homeroom data

For the homeroom data $20,15,19,16,10$, $n = 5$, $\sum_{i=1}^{5}x_{i}=20 + 15+19+16+10=80$. Then $\bar{x}=\frac{80}{5}=16.0$.

Step3: Calculate mean for drama club data

For the drama club data $19,23,11,30,27,27,22,26,16,24$, $n = 10$, $\sum_{i = 1}^{10}x_{i}=19+23+11+30+27+27+22+26+16+24 = 225$. Then $\bar{x}=\frac{225}{10}=22.5$.

Answer:

The mean of the homeroom data is $16.0$ and the mean of the drama club data is $22.5$.