6. the data set shows the number of t - shirts sold each day of a sale at abercrombie. find the median…

Explanation:

Step1: Sort the first data - set

Sort the data set of T - shirts sold: $30,30,32,32,34,36,36,38,38$. There are $n = 9$ data points. Since $n$ is odd, the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{9+1}{2}=5$ - th value. So the median is $34$.

Step2: Sort the second data - set

Sort the data set of roses in vases: $12,12,16,16,18,20,20,24$. There are $n = 8$ data points. Since $n$ is even, the median is the average of the $\frac{n}{2}$-th and $\left(\frac{n}{2}+1\right)$-th values. $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4 - th value is $16$ and the 5 - th value is $18$. The median is $\frac{16 + 18}{2}=17$.

Step3: Find the mode of the third data - set

Count the frequency of each value in the data set of magazines read:

• $0$ appears $2$ times.
• $1$ appears $3$ times.
• $2$ appears $5$ times.
• $3$ appears $3$ times.
• $4$ appears $2$ times.
• $5$ appears $1$ time. The value with the highest frequency is $2$, so the mode is $2$.

Answer:

6. $34$
7. $17$
8. $2$