Box Plot Worksheets - Free Printable

Here are the correct values and steps to complete the box plot problems shown in your worksheet.

Problem 1: Temperatures

Step 1: Order the data
First, we list the temperatures from smallest to largest:
39, 41, 42, 45, 48, 52, 55, 57, 63, 75

Step 2: Find the Five-Number Summary
* Minimum value: The smallest number is 39°F.
* Maximum value: The largest number is 75°F.
* Median (Middle): There are 10 numbers. The middle falls between the 5th and 6th numbers (48 and 52).
* Calculation: $(48 + 52) \div 2 = 50$. So, the Median is 50°F.
* 1st Quartile (Q1): This is the median of the lower half (39, 41, 42, 45, 48). The middle number is 42°F.
* 3rd Quartile (Q3): This is the median of the upper half (52, 55, 57, 63, 75). The middle number is 57°F.

Step 3: Calculate Range and IQR
* Range: Maximum - Minimum = $75 - 39 =$ 36°F.
* Interquartile Range (IQR): Q3 - Q1 = $57 - 42 =$ 15°F.

Step 4: Draw the Box Plot
On the number line provided:
1. Put a dot at 39 (Minimum).
2. Draw the left side of the box at 42 (Q1).
3. Draw a vertical line inside the box at 50 (Median).
4. Draw the right side of the box at 57 (Q3).
5. Put a dot at 75 (Maximum).
6. Connect the dots to the box with horizontal lines (whiskers).

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Problem 2: Player Heights

Step 1: Order the data
List the heights from smallest to largest:
65, 67, 69, 69, 70, 71, 71, 73, 76, 78, 80

Step 2: Find the Five-Number Summary
* Minimum value: The smallest number is 65.
* Maximum value: The largest number is 80.
* Median (Middle): There are 11 numbers. The exact middle is the 6th number. Counting in, the 6th number is 71.
* 1st Quartile (Q1): Look at the lower half (before the median): 65, 67, 69, 69, 70. The middle number is 69.
* 3rd Quartile (Q3): Look at the upper half (after the median): 71, 73, 76, 78, 80. The middle number is 76.

Step 3: Calculate Range and IQR
* Range: Maximum - Minimum = $80 - 65 =$ 15.
* Interquartile Range (IQR): Q3 - Q1 = $76 - 69 =$ 7.

Step 4: Draw the Box Plot
On the number line provided:
1. Put a dot at 65 (Minimum).
2. Draw the left side of the box at 69 (Q1).
3. Draw a vertical line inside the box at 71 (Median).
4. Draw the right side of the box at 76 (Q3).
5. Put a dot at 80 (Maximum).
6. Connect the dots to the box with horizontal lines.

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Final Answer:

1) Temperature Data:
* Minimum: 39°F
* 1st Quartile: 42°F
* Median: 50°F
* 3rd Quartile: 57°F
* Maximum: 75°F
* Range: 36°F
* Interquartile Range: 15°F

2) Player Height Data:
* Minimum: 65
* 1st Quartile: 69
* Median: 71
* 3rd Quartile: 76
* Maximum: 80
* Range: 15
* Interquartile Range: 7