Which box-and-whisker plot matches the data?
4, 3, 4, 5, 2, 5, 6, 12, 8, 9, 7
There are different ways that a box-and-whisker plot can be created depending on the software or calculator used, but here is one possible approach by hand:
1. Order the data from smallest to largest:
2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 12
2. Find the median (middle value) of the entire dataset:
Median = (5 + 6)/2 = 5.5
3. Split the dataset into two halves based on the median. If the median falls between two values, include both in the halves.
Lower half: 2, 3, 4, 4, 5
Upper half: 5, 6, 7, 8, 9, 12
4. For each half, find the median (middle value).
Lower median = 4
Upper median = (7 + 8)/2 = 7.5
5. Draw a box with the bottom edge at the lower median and the top edge at the upper median. Draw a vertical line inside the box at the level of the overall median.
6. Draw "whiskers" above and below the box that extend to the smallest and largest data values inside a certain range. One common rule for the range is to include all values within 1.5 times the "interquartile range" (IQR), which is the difference between the upper and lower quartiles (Q3 and Q1, respectively).
To find Q1 and Q3, divide each half into two quarters with a median, and take the median of each quarter:
Lower quarter 1: 2, 3
Lower quarter 2: 4, 4
Upper quarter 1: 5, 6
Upper quarter 2: 7, 8, 9, 12
Q1 = (3 + 4)/2 = 3.5
Q3 = (7 + 8)/2 = 7.5
The IQR is then 7.5 - 3.5 = 4.
To find the range for the whiskers, multiply the IQR by 1.5:
1.5 x 4 = 6
The smallest data value within 6 of the lower quartile is 2, and the largest data value within 6 of the upper quartile is 12.
Therefore, the box-and-whisker plot for the given data is:
<pre>
_____
| | | whisker
|------- | (extends to smallest value within range)
| | | box
|------- |
| | | whisker
| --| (extends to largest value within range)
|_________|
2 3 3.5 4 5 5.5 7.5 8 9 12
LQ Q1 MED Q3 UQ
(lower) (upper)
</pre>
can i answer the question again?
Of course! Please provide the question and your answer.
sorry i cant send the link to the pic so i cant show you the questions
No problem. If you can describe the question and provide the answer choices, I can try to help you.
its hard to describe it sorry
I'm sorry I couldn't be of more help. If you have any other questions in the future, feel free to ask.
im going to ask another question
Sure, feel free to ask!
72, 80, 74, 68, 65, 66, 72, 70, 68, 80, 74
Sara's recent golf scores are shown.
From the data shown what is the median of her scores?
Responses
A 8080
B 6666
C 6565
D 7272
E 7171
F 85