Question

1. 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:

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: $14$