📄 8th Grade Math (Algebra I): Mean, Median, Mode, and Range Worksheet
📌 1. True / False
1. The mean is always one of the numbers present in the data set.
2. The median is the middle value when a data set is ordered from least to greatest.
3. A data set can have more than one mode.
4. The range describes the spread or variability of the data.
5. Adding an outlier to a data set will always decrease the mean.
✏️ 2. Fill in the Blanks
🔗 3. Matching
✍️ 4. Short Answer Questions
1. Explain why ordering a data set is important when finding the median.
2. What does it mean if a data set has no mode?
🎯 5. Multiple Choice
1. What is the mean of the data set: 5, 8, 12, 15, 10?
2. Find the median of the following data set: 18, 12, 25, 15, 20.
3. Which measure of central tendency is most affected by an outlier?
📝 6. Open-Ended Questions
1. A student scored the following points on their math quizzes: 75, 88, 92, 75, 80. Calculate the mean, median, mode, and range for these scores.
2. The number of books read by 6 students in a month were: 3, 5, 2, 7, 3, 4.
a) What is the median number of books read?
b) If a new student joins who read 10 books, how does the mean change?
3. Consider the data set: 10, 15, 20, 25, 30.
a) Find the range of this data set.
b) If each number in the data set is increased by 5, how does the range change?
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Name Surname: .................................. Date: .... / .... / 202...
Mean, Median, Mode, and Range Worksheet
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SCORE
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A. True (T) / False (F)
| ( .... ) | The mean is always one of the numbers present in the data set. |
| ( .... ) | The median is the middle value when a data set is ordered from least to greatest. |
| ( .... ) | A data set can have more than one mode. |
| ( .... ) | The range describes the spread or variability of the data. |
| ( .... ) | Adding an outlier to a data set will always decrease the mean. |
B. Fill in the Blanks
| 1) | To find the mean of a data set, you .................... all the values and then divide by the total number of values. |
| 2) | The .................... is the value that appears most frequently in a data set. |
| 3) | If there is an even number of values in a data set, the median is the average of the two .................... values. |
| 4) | The .................... of a data set is calculated by subtracting the smallest value from the largest value. |
| 5) | An .................... is a value that is significantly different from the other values in a data set. |
C. Matching Concepts
| ( .... ) | The average of a data set, found by summing all values and dividing by the count of values. | - Median |
| ( .... ) | The middle value of a data set when it is arranged in numerical order. | - Mean |
| ( .... ) | The value that appears most frequently in a data set. | - Mode |
| ( .... ) | The difference between the highest and lowest values in a data set. | - Range |
| ( .... ) | A collection of numbers or values that represent a particular characteristic or measurement. | - Data Set |
D. Short Answer Questions
| 1) | Explain why ordering a data set is important when finding the median. |
| 2) | What does it mean if a data set has no mode? |
E. Multiple Choice Questions
| 1) |
What is the mean of the data set: 5, 8, 12, 15, 10?
A) 10
B) 12
C) 15
D) 50
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| 2) |
Find the median of the following data set: 18, 12, 25, 15, 20.
A) 12
B) 18
C) 20
D) 25
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| 3) |
Which measure of central tendency is most affected by an outlier?
A) Mode
B) Median
C) Mean
D) Range
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F. Open-Ended Questions
| 1) | A student scored the following points on their math quizzes: 75, 88, 92, 75, 80. Calculate the mean, median, mode, and range for these scores. |
| 2) |
The number of books read by 6 students in a month were: 3, 5, 2, 7, 3, 4. a) What is the median number of books read? b) If a new student joins who read 10 books, how does the mean change? |
| 3) |
Consider the data set: 10, 15, 20, 25, 30. a) Find the range of this data set. b) If each number in the data set is increased by 5, how does the range change? |
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