Marie made the box plot below to display a set of data. Which set of data could the box

Question

plot represent?

0

5

10

15

20

25

30

35

40

0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40

5, 10, 15, 20, 25, 30, 35

0, 5, 10, 15, 25, 35, 40

5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

Answer 1

To determine which set of data could correspond to the box plot, we need to analyze the characteristics of the box plot, including the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.

While I can't visualize the box plot directly, here is the procedure you should follow:

1. Identify the Min and Max: The minimum value of the data set should correspond to the leftmost point on the box plot, and the maximum value should correspond to the rightmost point.

2. Determine Quartiles: The box in the box plot represents the interquartile range (IQR), spanning from Q1 (the first quartile) to Q3 (the third quartile). The line inside the box represents the median.

3. Compare to Option Sets: Once you identify these key values (minimum, Q1, median, Q3, maximum), you can compare them to the options provided.

Let's evaluate the provided data sets:

1. 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40

   • Min: 0
   • Max: 40
   • Median: 15
   • Q1: 10
   • Q3: 25

2. 5, 10, 15, 20, 25, 30, 35

   • Min: 5
   • Max: 35
   • Median: 20
   • Q1: 12.5
   • Q3: 27.5

3. 0, 5, 10, 15, 25, 35, 40

   • Min: 0
   • Max: 40
   • Median: 15
   • Q1: 10
   • Q3: 27.5

4. 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35

   • Min: 5
   • Max: 35
   • Median: 15
   • Q1: 12
   • Q3: 25

Now, if we assume the box plot shows the following values:

• Min value = 0
• Max value = 40
• Median = 15
• Q1 = 10
• Q3 = 25

Then, the set of data that matches these characteristics is 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40.

Therefore, this set of data could be the one represented by the box plot.