I am having trouble anwering the following problem:
The test scores from Mrs. Gray's math class are shown below.
72, 73, 66, 71, 82, 85, 86, 89, 91, 92
Construct a box-and-whisker plot to display this data.
I don't know how to begin answering this problem and what steps must be done in order for me to get the correct answer.
I never heard of a box-and-whisper plot until now, and i don't see how it helps teach algenra, but this website will explain what it is all about.
(Broken Link Removed)
i dont knowww periodtttt
5+5=10
To construct a box-and-whisker plot from a given set of data, you need to follow these steps:
Step 1: Arrange the data in ascending order:
The given test scores are: 72, 73, 66, 71, 82, 85, 86, 89, 91, 92
Arrange them in ascending order: 66, 71, 72, 73, 82, 85, 86, 89, 91, 92
Step 2: Find the minimum, first quartile, median, third quartile, and maximum values:
a) Minimum: The lowest value in the data set is 66.
b) First Quartile (Q1): This is the median of the lower half of the data. In this case, the lower half is 66, 71, 72, and 73. The median of this set is (71 + 72) / 2 = 71.5. (If you have an odd number of values, take the middle number as Q1).
c) Median: The median is the middle value of the data set. In this case, with 10 values, the median is the 5th value, which is 82.
d) Third Quartile (Q3): This is the median of the upper half of the data. In this case, the upper half is 82, 85, 86, 89, 91, and 92. The median of this set is (86 + 89) / 2 = 87.5.
e) Maximum: The highest value in the data set is 92.
Step 3: Create a number line and plot the values:
Draw a number line and mark the values of the minimum, Q1, median, Q3, and maximum. In this case, your number line will range from 66 to 92. Add any necessary additional tick marks to cover the values.
Step 4: Construct the box-and-whisker plot:
a) Draw a box from Q1 to Q3, starting and ending at the respective values on the number line.
b) Draw a vertical line (whisker) from the minimum to the lower end of the box, and another whisker from the maximum to the upper end of the box.
Your completed box-and-whisker plot should display the five statistical summary values (minimum, Q1, median, Q3, maximum) visually, allowing you to see the distribution and spread of the data set.
For the given data set, the box-and-whisker plot would look like this:
66 82 92
-----|-------------------------|============|-------------------------|-----
| * | |
Minimum Q1 Median Q3 Maximum
(Note that the asterisk (*) represents an outlier, if any exist. You did not provide any additional information about whether outliers are present, so I did not account for them in this example.)