13. the following data set represents the number of hours students spent on their science fair projects…

13. the following data set represents the number of hours students spent on their science fair projects. create a five - number summary and a box plot to display the data. 8, 4, 14, 12, 5, 11, 8, 9, 7, 9 min: ______ q1: ______ med: ______ q3: ______ max: ______ ive got this: i need to study:

13. the following data set represents the number of hours students spent on their science fair projects. create a five - number summary and a box plot to display the data. 8, 4, 14, 12, 5, 11, 8, 9, 7, 9 min: ______ q1: ______ med: ______ q3: ______ max: ______ ive got this: i need to study:

Answer

Explanation:

Step1: Sort the data set

$4,5,7,8,8,9,9,11,12,14$

Step2: Find the minimum

The minimum value is the smallest number in the sorted - data set. Min = $4$

Step3: Find the first quartile (Q1)

The first quartile is the median of the lower half of the data. The lower half of the data is $4,5,7,8,8$. The median of this set is $7$. So Q1 = $7$

Step4: Find the median (Med)

Since there are $n = 10$ data points, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. $\frac{10}{2}=5$ and $\frac{10}{2}+1 = 6$. The 5th and 6th values are $8$ and $9$. Med=$\frac{8 + 9}{2}=8.5$

Step5: Find the third quartile (Q3)

The third quartile is the median of the upper half of the data. The upper half of the data is $9,11,12,14$. The median of this set is $\frac{11+12}{2}=11.5$. So Q3 = $11.5$

Step6: Find the maximum

The maximum value is the largest number in the sorted - data set. Max = $14$

Answer:

Min: $4$ Q1: $7$ Med: $8.5$ Q3: $11.5$ Max: $14$