Nicole listed her homework scores from her mathematics class.
100, 97, 95, 80, 88, 84, 96, 60, 78, 83
Which box-and-whisker plot correctly displays the information?
None of the above.
Can you help me with the answer
To create a box-and-whisker plot, we need to find the minimum, first quartile, median, third quartile, and maximum values.
First, we need to put the scores in order from least to greatest:
60, 78, 80, 83, 84, 88, 95, 96, 97, 100
Next, we find the median:
Since there are 10 scores, the median will be the average of the 5th and 6th scores.
Median = (84 + 88) / 2 = 86
Now, we can find the first quartile (Q1) and third quartile (Q3):
Since there are 10 scores, the first quartile will be the average of the 3rd and 4th scores, and the third quartile will be the average of the 7th and 8th scores.
Q1 = (80 + 83) / 2 = 81.5
Q3 = (95 + 96) / 2 = 95.5
The minimum value is 60, and the maximum value is 100.
Now that we have all the values, we can create the box-and-whisker plot.
There are different ways to represent the plot, but one typical representation is as follows:
59 - 79 - 80 - 83 - 84 - 85 - 86 - 88 - 95 - 96 - 97 - 100
| |
|-------------------|-------------------|
Minimum Maximum
Q1 Q3
So, the correct box-and-whisker plot for the given scores is the one that shows a minimum of 60, a maximum of 100, a median (Q2) of 86, and quartiles (Q1 and Q3) at 81.5 and 95.5 respectively.