Question

draw a box plot using the number of emails mrs. slattery got in the last 8 days. 45, 34, 28, 37, 68, 61, 50, 41, 18, 57 since you cant draw a box plot on canvas. input the 5 number summary. minimum = q1 = median = q3 = max =

Explanation:

Step1: Sort the data

18, 28, 34, 37, 41, 45, 50, 57, 61, 68

Step2: Find the minimum

The smallest value is 18.

Step3: Find Q1

There are 10 data - points. The position of Q1 is $\frac{n + 1}{4}=\frac{10+1}{4}=2.75$. So, Q1 is $0.25\times(34 - 28)+28=29.5$.

Step4: Find the median

The position of the median for 10 data - points is $\frac{n + 1}{2}=\frac{10 + 1}{2}=5.5$. So, the median is $\frac{41+45}{2}=43$.

Step5: Find Q3

The position of Q3 is $\frac{3(n + 1)}{4}=\frac{3\times(10 + 1)}{4}=8.25$. So, Q3 is $0.75\times(57 - 50)+50=55.25$.

Step6: Find the maximum

The largest value is 68.

Answer:

Minimum = 18
Q1 = 29.5
Median = 43
Q3 = 55.25
Max = 68