Question

1. create a box and whisker plot using the following data. use the horizontal line as your number line.

child age	time spent playing with toy (seconds)
6	300
5	225
6	350
5	400

Explanation:

Step1: Extract time - data

The time - spent data values are 250, 300, 225, 350, 400.

Step2: Sort the data

Sort the data: 225, 250, 300, 350, 400.

Step3: Find the minimum

The minimum value is 225.

Step4: Find the first quartile (Q1)

Since $n = 5$, the position of Q1 is $\frac{1}{4}(n + 1)=\frac{1}{4}(5+1)=1.5$. So, $Q1=\frac{225 + 250}{2}=237.5$.

Step5: Find the median (Q2)

The median (Q2) is the middle value. Since $n = 5$, the median is the 3rd value, so $Q2 = 300$.

Step6: Find the third quartile (Q3)

The position of Q3 is $\frac{3}{4}(n + 1)=\frac{3}{4}(5 + 1)=4.5$. So, $Q3=\frac{350+400}{2}=375$.

Step7: Find the maximum

The maximum value is 400.

Step8: Draw the box - and - whisker plot

On the number line, mark the minimum (225), Q1 (237.5), Q2 (300), Q3 (375), and maximum (400). Draw a box from Q1 to Q3 with a line inside at Q2. Draw whiskers from the box to the minimum and maximum.

Answer:

The box - and - whisker plot is drawn with minimum = 225, Q1 = 237.5, median = 300, Q3 = 375, maximum = 400 on the number line.