Construct a box-and-whisker plot for the set of numbers.
348, 234, 146, 384, 247, 487, 276, 221, 303
This site explains how to construct a box-and-whisker plot.
so would my answer be 276
What question does 276 answer?
Construct a box-and-whisker plot for the set of numbers.
348, 234, 146, 384, 247, 487, 276, 221, 303
the answer would be 276
Are you looking for the median or the mode?
Or the mean?
To construct a box-and-whisker plot, you need to find the following statistics: the minimum value, the lower quartile (Q1), the median (Q2), the upper quartile (Q3), and the maximum value.
Step 1: Sort the numbers in ascending order:
146, 221, 234, 247, 276, 303, 348, 384, 487
Step 2: Find the median (Q2):
Since there are nine numbers, the median is the middle value, which is the fifth number (276).
Step 3: Find Q1 (lower quartile):
The lower quartile (Q1) is the median of the lower half of the data. Here, the lower half is 146, 221, 234, and 247. The median of these numbers is (221 + 234) / 2 = 227.5. So, Q1 is 227.5.
Step 4: Find Q3 (upper quartile):
The upper quartile (Q3) is the median of the upper half of the data. Here, the upper half is 303, 348, 384, and 487. The median of these numbers is (348 + 384) / 2 = 366. So, Q3 is 366.
Step 5: Find the minimum value and the maximum value:
The minimum value is 146, and the maximum value is 487.
Step 6: Plotting the box-and-whisker plot:
To draw the plot, you need a number line that covers the range of the data. From the minimum value (146) to the maximum value (487), create a number line.
On the number line, mark the minimum value (146), Q1 (227.5), Q2 or the median (276), Q3 (366), and the maximum value (487).
Then, draw a box from Q1 to Q3 on the number line. Inside the box, draw a horizontal line at the median (Q2). Finally, draw whiskers from the box to the minimum value and the maximum value.
The final box-and-whisker plot for the given set of numbers would look like this:
___________________________
| | |
146 --| | |
| |_______|
Q1 Q2 Q3
I hope this helps!