We are given a table with data of the number of days of incubation period for pet birds.
Number of Days of Incubation Periods for Pet Birds
Australian King Parrot
20
Glossy Cockatoo
30
Major Mitchell's Cockatoo
26
Princess Parrot
21
Red-Tailed Cockatoo
30
Red-Winged Parrot
21
Regent Parrot
21
Superb Parrot
20
White-Tailed Cockatoo
29
Yellow-Tailed Cockatoo
29
We are asked to find the five-number summary and then to draw a box plot. To do that let's first write the data from least to greatest.
Now that the data is in increasing order, we can identify the median which is the middle value of the data set. Let's split the set into two equal parts.
The median is splits the data set in half, so it is between the values 21 and 26. Therefore, median is equal to the average of the values 21 and 26. Let's calculate it!
Median=21+26/2=23.5
Now let's find the quartiles. The first quartile Q1 is the median of the lower half.
Finally, we will identify the minimum and maximum values of the data set.
We found the five-number summary! Now let's draw a box plot of the data. First, let's mark all the values from the five-number summary above the number line.
Now let's draw a straight line between the minimum values and the first quartile and another line between the third quartile and maximum value.
Next, we will draw a box around the median. The sides of the box should go through the points representing the first and third quartile.
Finally, we will finish our box plot by drawing a line inside the box going through the point representing the median.
