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.)

Question

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.)

Answer 1

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

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

Answer 2

* Have you MADE a box-and-whisker plot?

Answer 3

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Answer 4

To make a box-and-whisker plot, we need to determine the five number summary of the data set. The five number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

First, let's sort the data set in ascending order: $15, $20, $35, $38, $40, $45, $50, $60, and $95.

Minimum: The minimum value is $15.
Maximum: The maximum value is $95.

Next, let's find the median. Since the data set has an odd number of values (9), the median is the value in the middle. In this case, it's the fifth value, $40.

Now, let's calculate the quartiles. The first quartile (Q1) is the median of the lower half of the data set, which includes the values $15, $20, $35, $38, and $40. To find Q1, we need to find the median of this subset, which is $35.

The third quartile (Q3) is the median of the upper half of the data set, which includes the values $45, $50, $60, and $95. To find Q3, we need to find the median of this subset, which is $55.

Now, we can construct the box-and-whisker plot. The plot would have a box from Q1 ($35) to Q3 ($55), with a line indicating the median ($40). The whiskers would extend from the box to the minimum ($15) and maximum ($95).

From this box-and-whisker plot, we can make the following conclusions:

1. The range (maximum - minimum) of the prices is $95 - $15 = $80.
2. The interquartile range (Q3 - Q1) is $55 - $35 = $20.
3. The prices are relatively evenly distributed between Q1 and Q3, with no significant outliers.

Note: Without the actual plot, it's challenging to understand the exact distribution and skewness of the data, but the box-and-whisker plot provides a summary of key statistical measures.