The test scores from Mrs. Gray's Math class are shown below.

72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92

Construct a box-and-whisker plot to display these data.

--65--70--75--80--85--90--95--100--

^what the graph looks like^

How would you solve this using a graphing calculator? My teacher told me to put the numbers in L1, which I did, then go to stat-> calc-> 1-var stats. That gave me a weird answer though.

Box and whisker plot

The box should contain the middle 50% of scores, from the first quartile to the third quartile, with the median labeled. The whiskers should extend from the two ends of the box to the values of the extreme high and low scores.

I do not have a graphing calculator.

To construct a box-and-whisker plot using a graphing calculator, you will need to follow these steps:

1. Enter the data into a list. In this case, you would enter the test scores into the list L1.

2. Once you have entered the data, go to the "Stat" menu on your calculator.

3. Under the "Stat" menu, locate the "Edit" option and press it. This will allow you to access and edit the data in the lists.

4. Choose the list (L1 in this case) where you entered the data and press the "Enter" or "Edit" button.

5. Once you have selected the list, your calculator will display the data. Make sure the numbers are correctly entered.

6. Go back to the "Stat" menu, and this time select "Calc" or "Calculate".

7. A list of statistical calculations will be displayed. Choose "1-Var Stats" (which stands for one-variable statistics) and press the corresponding number or select it using the arrow keys.

8. After selecting "1-var Stats," you will be prompted to enter the list that contains the data. Select L1 by pressing the appropriate number or using the arrow keys.

9. Press the "Enter" key, and your calculator will calculate various statistical measures, including the minimum value, maximum value, mean, median, and quartiles.

10. Look for the values labeled "Q1" (first quartile), "Med" (median), and "Q3" (third quartile) to determine the positions of the lower and upper quartiles on the box-and-whisker plot.

11. To draw the plot, you can go to the graphing mode on your calculator. Enter the minimum and maximum values of the scale (in this case, from 65 to 100) so that the data will be displayed within that range.

12. Based on the statistical measures from the "1-Var Stats" calculation, draw a horizontal line through the scale at the position of the median (Med).

13. Above and below the median, draw boxes from Q1 to the median (left side) and from the median to Q3 (right side).

14. Extend vertical lines (whiskers) from the boxes to the minimum and maximum values to complete the plot.

Following these steps should help you construct a box-and-whisker plot using a graphing calculator. If you encountered a weird answer, make sure to double-check the data you entered into the list (L1), as well as the statistical calculations you performed.

To create a box-and-whisker plot using a graphing calculator, you can follow these steps:

1. Enter the data into a list. Let's use L1.

2. Press the "STAT" button on your calculator.

3. Navigate to the "Edit" menu (sometimes labeled "Edit/Stat").

4. Enter the numbers from Mrs. Gray's Math class test scores into the appropriate list, for example, L1.

5. Press the "STAT" button again.

6. Navigate to the "CALC" menu (sometimes labeled "Calc/Stat").

7. Choose "1-Var Stats" or a similar option. This will calculate some statistical measures for the data.

8. Press "ENTER" or "EXE" to perform the calculation.

9. Now you should see a table with various statistical measures, including the minimum, maximum, median, Q1, Q3, and more.

To understand the output you obtained, you should look for the values related to the box-and-whisker plot, such as:

- Minimum value: The smallest test score.
- Q1 (first quartile): The lower boundary of the box.
- Median (second quartile): The middle value of the dataset.
- Q3 (third quartile): The upper boundary of the box.
- Maximum value: The largest test score.

With these values, you can plot the box-and-whisker plot using the scale provided earlier:

- Place a dot for the minimum value.
- Draw a vertical line from the lower quartile (Q1) to the upper quartile (Q3), creating a box.
- Mark a line within the box representing the median.
- Extend line segments, called whiskers, from the box to the minimum and maximum values.

If you provide the specific output or values from the calculator, I can help guide you further.