The prices of several chess sets are $15, $20, $38, $95, $60, $45, $40, $35, and $50. Make a box-and-whisker plot of the data. What conclusions can you make? (You do not have to submit the box and whisker plot.)

Have you made a box-and-whisker plot of the data?

http://ellerbruch.nmu.edu/cs255/jnord/boxplot.html

Yes,

Median=40
Upper quartile=55
Lower=27.5
Range=27.5

Is that all its asking????

I see a couple of outliers -- the expensive set at $95 and the cheap set at $15.

To make a box-and-whisker plot of the given data, you need to first organize the data in ascending order. Here are the prices of the chess sets in ascending order:

$15, $20, $35, $38, $40, $45, $50, $60, $95

Now, let's find the five number summary for creating the box-and-whisker plot:

1. Minimum: The minimum value is $15.
2. Lower quartile (Q1): The lower quartile is the median of the lower half of the data. Since there are 9 data points, the middle two points are $35 and $38. Therefore, the lower quartile is $(35 + 38)/2 = $36.50.
3. Median (Q2): The median is the middle value of the data. With 9 data points, the middle value is the 5th value, which is $40.
4. Upper quartile (Q3): The upper quartile is the median of the upper half of the data. Again, since there are 9 data points, the middle two points are $50 and $60. Thus, the upper quartile is $(50 + 60)/2 = $55.
5. Maximum: The maximum value is $95.

Now that we have the five number summary, we can create the box-and-whisker plot. The plot will have a box from Q1 to Q3, a line for the median at Q2, and horizontal lines (whiskers) extending from the box to the minimum and maximum values.

From the box-and-whisker plot, we can make the following conclusions:
- The prices range from $15 to $95, with most of the prices falling between $36.50 and $55.
- The median price is around $40, which means that half of the prices are below $40 and half are above $40.
- There are a few outliers on the higher end of the price range, with one chess set priced at $95.