Box Plot Worksheets - Free Printable
Educational worksheet: Box Plot Worksheets. Download and print for classroom or home learning activities.
GIF
1000×1294
100.3 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1631841
⭐
Show Answer Key & Explanations
Step-by-step solution for: Box Plot Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Box Plot Worksheets
Here are the answers to the questions on the worksheet, broken down step-by-step.
To solve this, we need to read the numbers from the number line for the box plot.
* Minimum (left dot): 16
* Q1 (left side of box): 24
* Median (line inside box): 30
* Q3 (right side of box): 41
* Maximum (right dot): 59
a) The median rainfall across the US is \_\_\_\_\_ inches.
The median is the vertical line inside the rectangular box. Looking at the scale, it lines up exactly with 30.
b) The state with the highest rainfall recorded \_\_\_\_\_ inches.
The highest value is represented by the dot on the far right end of the line (the maximum). It is one tick mark before 60. Since each major mark is 5 units, let's look closer. The marks are 15, 20, 25... so the small ticks aren't drawn, but we can estimate. The dot is just before 60. Let's look at the spacing. 55 to 60. The dot looks like it is at 59.
c) The data is \_\_\_\_\_.
* Distance from Min to Median: $30 - 16 = 14$
* Distance from Median to Max: $59 - 30 = 29$
Because the right side (from the median to the max) is much longer than the left side, the "tail" of the data stretches to the right. This means it is skewed to the right.
d) The range in the rainfall data is \_\_\_\_\_ inches.
Range = Maximum - Minimum.
$59 - 16 =$ 43.
e) About 25% of states have rainfall that is less than \_\_\_\_\_ inches.
The first quartile (Q1) marks the point where 25% of the data is below it. Q1 is the left edge of the box. It is just before 25. It looks like 24.
f) About 25% of states have rainfall that is more than \_\_\_\_\_ inches.
The third quartile (Q3) marks the point where 25% of the data is above it (and 75% is below). Q3 is the right edge of the box. It is just past 40. It looks like 41.
g) The interquartile range of rainfall is \_\_\_\_\_ inches.
Interquartile Range (IQR) = Q3 - Q1.
$41 - 24 =$ 17.
***
Let's read the numbers for the second box plot.
* Minimum (left dot): 41
* Q1 (left side of box): 54
* Median (line inside box): 63
* Q3 (right side of box): 71
* Maximum (right dot): 87
a) The median number of points scored was \_\_\_\_\_.
The median is the line inside the box. It is between 60 and 65, slightly closer to 65. It looks like 63.
b) The highest scoring player scored \_\_\_\_\_ points.
The highest score is the dot on the far right. It is between 85 and 90. It looks like 87.
c) The range of points scored was \_\_\_\_\_.
Range = Maximum - Minimum.
$87 - 41 =$ 46.
d) Most of the players scored more than 65 points: \_\_\_\_\_.
The median is 63. This means 50% of players scored *less* than 63, and 50% scored *more*. Since 65 is higher than the median, *fewer* than 50% of players scored more than 65. Therefore, "Most" (which implies more than half) did not. The answer is false.
e) The data is \_\_\_\_\_.
* Left whisker length: $54 - 41 = 13$
* Right whisker length: $87 - 71 = 16$
* Left box part: $63 - 54 = 9$
* Right box part: $71 - 63 = 8$
The distances are fairly balanced, but the right whisker is slightly longer. However, looking at the whole shape, the median is roughly in the center of the box, and the whiskers are similar lengths. In many school contexts, if it's close, it might be considered symmetric, but technically the right tail is longer. Let's look closer.
Min to Median: $63 - 41 = 22$.
Median to Max: $87 - 63 = 24$.
These are very close. Usually, if the median is in the middle of the box and whiskers are similar, it is symmetric. Given the options, symmetric is the best fit for this level of math, as the skew is very slight.
f) The interquartile range is \_\_\_\_\_ points.
IQR = Q3 - Q1.
$71 - 54 =$ 17.
g) About 75% of the players scored more than 71 points. \_\_\_\_\_.
71 is the Third Quartile (Q3). By definition, 75% of the data is *below* Q3, and only 25% is *above* Q3. So, only about 25% scored more than 71. The statement says 75%, which is incorrect. The answer is false.
──────────────────────────────────────
Final Answer:
1) Rainfall Box Plot
a) 30
b) 59
c) skewed to the right
d) 43
e) 24
f) 41
g) 17
2) Basketball Box Plot
a) 63
b) 87
c) 46
d) false
e) symmetric
f) 17
g) false
Problem 1: Annual Rainfall
To solve this, we need to read the numbers from the number line for the box plot.
* Minimum (left dot): 16
* Q1 (left side of box): 24
* Median (line inside box): 30
* Q3 (right side of box): 41
* Maximum (right dot): 59
a) The median rainfall across the US is \_\_\_\_\_ inches.
The median is the vertical line inside the rectangular box. Looking at the scale, it lines up exactly with 30.
b) The state with the highest rainfall recorded \_\_\_\_\_ inches.
The highest value is represented by the dot on the far right end of the line (the maximum). It is one tick mark before 60. Since each major mark is 5 units, let's look closer. The marks are 15, 20, 25... so the small ticks aren't drawn, but we can estimate. The dot is just before 60. Let's look at the spacing. 55 to 60. The dot looks like it is at 59.
c) The data is \_\_\_\_\_.
* Distance from Min to Median: $30 - 16 = 14$
* Distance from Median to Max: $59 - 30 = 29$
Because the right side (from the median to the max) is much longer than the left side, the "tail" of the data stretches to the right. This means it is skewed to the right.
d) The range in the rainfall data is \_\_\_\_\_ inches.
Range = Maximum - Minimum.
$59 - 16 =$ 43.
e) About 25% of states have rainfall that is less than \_\_\_\_\_ inches.
The first quartile (Q1) marks the point where 25% of the data is below it. Q1 is the left edge of the box. It is just before 25. It looks like 24.
f) About 25% of states have rainfall that is more than \_\_\_\_\_ inches.
The third quartile (Q3) marks the point where 25% of the data is above it (and 75% is below). Q3 is the right edge of the box. It is just past 40. It looks like 41.
g) The interquartile range of rainfall is \_\_\_\_\_ inches.
Interquartile Range (IQR) = Q3 - Q1.
$41 - 24 =$ 17.
***
Problem 2: Basketball Points
Let's read the numbers for the second box plot.
* Minimum (left dot): 41
* Q1 (left side of box): 54
* Median (line inside box): 63
* Q3 (right side of box): 71
* Maximum (right dot): 87
a) The median number of points scored was \_\_\_\_\_.
The median is the line inside the box. It is between 60 and 65, slightly closer to 65. It looks like 63.
b) The highest scoring player scored \_\_\_\_\_ points.
The highest score is the dot on the far right. It is between 85 and 90. It looks like 87.
c) The range of points scored was \_\_\_\_\_.
Range = Maximum - Minimum.
$87 - 41 =$ 46.
d) Most of the players scored more than 65 points: \_\_\_\_\_.
The median is 63. This means 50% of players scored *less* than 63, and 50% scored *more*. Since 65 is higher than the median, *fewer* than 50% of players scored more than 65. Therefore, "Most" (which implies more than half) did not. The answer is false.
e) The data is \_\_\_\_\_.
* Left whisker length: $54 - 41 = 13$
* Right whisker length: $87 - 71 = 16$
* Left box part: $63 - 54 = 9$
* Right box part: $71 - 63 = 8$
The distances are fairly balanced, but the right whisker is slightly longer. However, looking at the whole shape, the median is roughly in the center of the box, and the whiskers are similar lengths. In many school contexts, if it's close, it might be considered symmetric, but technically the right tail is longer. Let's look closer.
Min to Median: $63 - 41 = 22$.
Median to Max: $87 - 63 = 24$.
These are very close. Usually, if the median is in the middle of the box and whiskers are similar, it is symmetric. Given the options, symmetric is the best fit for this level of math, as the skew is very slight.
f) The interquartile range is \_\_\_\_\_ points.
IQR = Q3 - Q1.
$71 - 54 =$ 17.
g) About 75% of the players scored more than 71 points. \_\_\_\_\_.
71 is the Third Quartile (Q3). By definition, 75% of the data is *below* Q3, and only 25% is *above* Q3. So, only about 25% scored more than 71. The statement says 75%, which is incorrect. The answer is false.
──────────────────────────────────────
Final Answer:
1) Rainfall Box Plot
a) 30
b) 59
c) skewed to the right
d) 43
e) 24
f) 41
g) 17
2) Basketball Box Plot
a) 63
b) 87
c) 46
d) false
e) symmetric
f) 17
g) false
Parent Tip: Review the logic above to help your child master the concept of box and whisker plot worksheet grade 6.
