Question

The following frequency table summarizes a set of data. What is the five-number summary?

Value	Frequency
1	5
2	2
3	1
7	1
8	1
17	1
18	5
19	3
20	1
21	1
23	1
26	1

Select the correct answer below:

Min	Q1	Median	Q3	Max
1	7	8	21	26

Min	Q1	Median	Q3	Max
1	2	6	19	26

Min	Q1	Median	Q3	Max
1	3	22	21	26

Min	Q1	Median	Q3	Max
1	2	18	19	26

Min	Q1	Median	Q3	Max
1	4	5	18	26

Answer 1

Min = 1

Q1 =

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

1   1   1   1   1   2   2   3   7   8   17   18   18   18   18   18   19   19   19   20   21   23   26   

So, the bottom half is

1   1   1   1   1   2   2   3   7   8   17   

The Q1 of these numbers is 2

Median =

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

1   1   1   1   1   2   2   3   7   8   17   18   18   18   18   18   19   19   19   20   21   23   26   

So, the median is 18

Q3 =

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

1   1   1   1   1   2   2   3   7   8   17   18   18   18   18   18   19   19   19   20   21   23   26   

So, the upper half is

18   18   18   18   19   19   19   20   21   23   26   

The Q3 of these numbers is 19.

Max = 26

Correct answer :

Min	Q1	Median	Q3	Max
1	2	18	19	26