Attempt following question by selecting a choice to answer.
D
A partial list of U.S Presidents and their respective ages when they took the charge of the White House are given. Find the five-number summary. Was Bill Clinton in the youngest 25% for the given list?
| President | Age |
| Washington | 57 |
| Jackson | 61 |
| W.H.Harrison | 68 |
| Lincoln | 52 |
| A.Johnson | 56 |
| B.Harison | 55 |
| J.Roosevelt | 42 |
| F.D.Roosevelt | 51 |
| Kennedy | 43 |
| Clinton | 46 |
BB DDA.
D42, 44, 53, 59, 68 and no
B.
D42, 46, 53.5, 57, 68 and yes
C.
D46, 53.5, 57 and yes
D.
D42, 44.5, 53.5, 59, 68 and no
D
B
Step 1: Arrange the data in order: 42, 43, 46, 51, 52, 55, 56, 57, 61, 68.
Step 2: The values
1. lowest value of the data set,
2. Q1,
3. median,
4. Q3,
5. highest value of the data set
are called the five-number summary of the data set.
Step 3: Median quartile, Q2 = 52+552 = 53.5
Step 4: Lower quartile, Q1 is the median of the data values that fall below Q2.
Step 5: Q1 = 46
Step 6: Upper quartile, Q3 is the median of the data values that fall above Q2.
Step 7: Q3 = 57
Step 8: The five-number summary is 42, 46, 53.5, 57, 68.
Step 9: Age of Bill Clinton when he took office is 46 = Q1, hence Bill Clinton falls in the youngest 25%.