drag the tiles to the boxes to form correct pairs. match the values associated with this data set to their…

Explanation:

Step1: Sort the data - set

Sort the data set ${6,47,49,15,43,41,7,36}$ in ascending - order: ${6,7,15,36,41,43,47,49}$.

Step2: Calculate the median

Since there are $n = 8$ data points, the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+1)$ - th ordered values. The $\frac{8}{2}=4$ - th value is $36$ and the $(\frac{8}{2}+1)=5$ - th value is $41$. Median $=\frac{36 + 41}{2}=38.5$.

Step3: Calculate the first quartile

The lower half of the data set is ${6,7,15,36}$. Since there are $n_1 = 4$ data points in the lower half, the first quartile $Q_1$ is the average of the $\frac{n_1}{2}$ - th and $(\frac{n_1}{2}+1)$ - th ordered values in the lower half. The $\frac{4}{2}=2$ - th value is $7$ and the $(\frac{4}{2}+1)=3$ - th value is $15$. $Q_1=\frac{7 + 15}{2}=11$.

Step4: Calculate the third quartile

The upper half of the data set is ${41,43,47,49}$. Since there are $n_2 = 4$ data points in the upper half, the third quartile $Q_3$ is the average of the $\frac{n_2}{2}$ - th and $(\frac{n_2}{2}+1)$ - th ordered values in the upper half. The $\frac{4}{2}=2$ - th value is $43$ and the $(\frac{4}{2}+1)=3$ - th value is $47$. $Q_3=\frac{43+47}{2}=45$.

Step5: Calculate the difference of the largest value and the median

The largest value is $49$ and the median is $38.5$. The difference is $49 - 38.5 = 10.5$.

Answer:

First quartile $\leftrightarrow11$ $38.5\leftrightarrow$ median $11\leftrightarrow$ first quartile Third quartile $\leftrightarrow45$ $10.5\leftrightarrow$ the difference of the largest value and the median