Question

jjs teacher has accused them of being out on passes too much! heres the data (in minutes): 7, 19, 5, 3, 4, 5, 14, 8, 20, 10, 6, 4, 4, 3, 6. make a box plot to represent the data. minimum: q1: median: q3: maximum:

Explanation:

Step1: Organize data in ascending order

3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 8, 10, 14, 19, 20

Step2: Find the minimum

The smallest value is 3. So, Minimum = 3.

Step3: Find Q1 (first - quartile)

There are n = 15 data points. The position of Q1 is $\frac{n + 1}{4}=\frac{15+ 1}{4}=4$. So, Q1 is the 4th value in the ordered - data set, which is 4.

Step4: Find the median

The position of the median for n = 15 data points is $\frac{n + 1}{2}=\frac{15 + 1}{2}=8$. So, Median = 6.

Step5: Find Q3 (third - quartile)

The position of Q3 is $\frac{3(n + 1)}{4}=\frac{3\times(15 + 1)}{4}=12$. So, Q3 is the 12th value in the ordered - data set, which is 10.

Step6: Find the maximum

The largest value is 20. So, Maximum = 20.

Answer:

Minimum: 3
Q1: 4
Median: 6
Q3: 10
Maximum: 20