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Quizzes > High School Quizzes > Mathematics

Mean Median Mode Worksheets Practice Quiz

Boost Your 6th Grade Math: Mean, Median, Mode, Range

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art promoting Mean Median Mode Mania, a middle school math trivia quiz.

What is the mean of the numbers 2, 4, and 6?
4
3
6
8
The mean is calculated by adding all the numbers and then dividing by the count. (2 + 4 + 6) divided by 3 equals 4, which is the average value of the set.
What is the median of the set {3, 1, 2}?
2
1
3
2.5
When the numbers are arranged in order (1, 2, 3), the middle value is 2. This is why 2 is the correct median.
Which term describes the number that appears most frequently in a data set?
Mean
Median
Mode
Range
The mode is defined as the value that occurs most frequently in a data set. It helps identify the most common or repeated number.
What is the mean of the set {5, 5, 5, 5, 5}?
5
0
25
10
Since every number in the set is 5, the sum is 25 and dividing by the count (5) gives a mean of 5. The average of identical values is the same as the single value.
What is the median of the even-numbered set {2, 5, 7, 10}?
6
5
7
5.5
For an even number of values, the median is the average of the two middle numbers. (5 + 7) divided by 2 equals 6, making it the median.
What is the mean of the data set: 8, 10, 12, 14, 16?
12
10
14
16
The sum of the numbers is 60, and dividing by the count 5 results in a mean of 12. This directly applies the formula for calculating the mean.
What is the median of the numbers: 7, 2, 9, 4, 5?
5
4
7
9
After arranging the numbers in order (2, 4, 5, 7, 9), the middle number is 5. Thus, 5 is the median of this set.
What is the mode of the set: 3, 3, 4, 6, 8, 8, 8, 9?
8
3
6
9
The number 8 appears three times, which is more frequent than any other number in the set. This makes 8 the mode.
If the average of five numbers is 20, what is their total sum?
100
20
40
80
Multiplying the average (20) by the number of values (5) gives the total sum, which is 100. This question reinforces the relationship between mean and sum.
A teacher recorded the scores 65, 70, 70, 75, 80, 85, 85, 85, 90, 95. What is the mode of these scores?
85
70
75
90
The score 85 appears three times, more than any other score in the list. Therefore, 85 is the mode of the scores.
Find the mean of the data set: 1, 3, 3, 6, 7, 8, 9.
5.3
5
6
5.5
The total sum of the numbers is 37, and dividing by 7 gives approximately 5.3. This question demonstrates calculating a mean that is not a whole number.
Consider the set: 4, 8, 12, 16, and x. If the mean is 12, what is the value of x?
20
16
12
24
The sum of the known values is 40, and using the mean formula (40 + x) / 5 = 12, we solve to find x = 20. This reinforces solving for an unknown in a data set.
In an ordered set of 9 numbers, the median is the 5th number. If the median is 15, what does it indicate?
The 5th highest score is 15
The average of all scores is 15
The most frequent score is 15
The sum of the scores is 15
In an ordered set of 9 numbers, the median is the 5th value. This means that the middle value of the set is 15, reflecting its central position.
Which measure of central tendency is least affected by extreme values?
Mean
Median
Mode
Range
The median is less sensitive to outliers compared to the mean. Because it depends solely on the middle value, extreme scores do not distort it as much.
What is the mode of the set: 2, 2, 3, 4, 10?
2
3
4
10
The number 2 appears more frequently than any other number in the set, making it the mode. This reinforces the concept of frequency in data sets.
A class has 11 students with scores: 56, 67, 78, 78, 82, 90, 90, 90, 95, 100, and one missing score. If the overall mean is 80, what is the missing score?
54
56
60
80
Multiplying the mean (80) by the total number of scores (11) gives 880. The sum of the known scores is 826, so the missing score is 880 - 826 = 54.
If the mean of 7 numbers is 21 and the mode is 18, which of the following data sets satisfies these conditions?
[17, 18, 18, 18, 23, 25, 28]
[18, 18, 18, 18, 18, 18, 18]
[16, 18, 19, 20, 21, 22, 24]
[17, 17, 18, 19, 20, 21, 23]
Option A is the only data set where the sum of the numbers results in a mean of 21 and the number 18 appears most frequently. This set meets both given conditions.
A data set has an average of 50. If one number is mistakenly replaced by 0, which measure of central tendency is most affected?
Mean
Median
Mode
Standard Deviation
Replacing a value with 0 significantly lowers the overall sum, thereby impacting the mean more than the median or mode. The mean is highly sensitive to such changes.
When an outlier is added to a data set, which measure of central tendency provides the most reliable estimate of the typical value?
Mean
Median
Mode
Range
The median is robust against extreme values because it only considers the middle value in an ordered set. This makes it the most reliable measure when an outlier is present.
A researcher has the following seven data points: 10, 15, 20, x, 30, 35, 40. If the median of the data set is 25, what is the value of x?
25
30
20
35
In a set with an odd number of values, the median is the middle number. Since x is the fourth number in an ordered list of seven, it must equal the median, 25.
0
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Study Outcomes

  1. Understand how to calculate the mean of a data set.
  2. Determine the median and its significance in data analysis.
  3. Identify the mode in various sets of numbers.
  4. Analyze data sets by comparing their mean, median, and mode.
  5. Apply these measures to interpret and assess data distributions.

Mean Median Mode Worksheet Cheat Sheet

  1. Mean - Think of the mean as the "fair share" if you split all your data points evenly; you add them up and divide by how many there are. It's perfect for getting the overall vibe of a data set but can get pulled by extreme values called outliers. Mean, Median & Mode Questions
    2. byjus.com
  2. Median - The median is the middle value when you line everything up from smallest to largest, so half the data falls on each side. It's super resistant to wild outliers, making it a reliable center point in skewed distributions. Mean, Median & Mode Questions
    3. byjus.com
  3. Mode - Mode tells you which value shows up the most, like spotting the crowd favorite at a concert. There can be one mode, multiple modes, or none at all if everything's unique. Mean, Median & Mode Questions
    4. byjus.com
  4. Range - Range measures how wide your data are by subtracting the smallest value from the largest. It gives a quick sense of spread, but only reflects the two extremes. Data Analysis Resources
    5. pdesas.org
  5. Outliers - Outliers are the oddballs that sit far away from the main group, and they can skew your mean while barely nudging your median or mode. Always spot-check for these funky values before drawing big conclusions. Data Analysis Resources
    6. pdesas.org
  6. Empirical Relationship - Use the formula Mode ≈ 3 × Median − 2 × Mean to estimate one measure if you know the other two. It's a neat trick for moderately skewed distributions and saves time on rough data checks. Mean, Median & Mode Questions
    7. byjus.com
  7. Grouped Data - For massive datasets, you bundle values into intervals and work with midpoints to find mean and identify the "median class" for the median. It's a lifesaver when you don't want to list every single point. Practice Questions
    8. geeksforgeeks.org
  8. Practice Problems - The best way to lock in your skills is by solving loads of problems, like computing mean, median, and mode for new sets. Regular drills turn these concepts from theory into second nature. Mean Median Mode Worksheet
    9. education.com
  9. Real-Life Applications - From calculating average test scores in schools to pinpointing the most common shoe size in a store, these measures guide decisions in economics, psychology, sports, and beyond. Data-driven choices start here! Data Analysis Resources
    10. pdesas.org
  10. Visual Representation - Use histograms, box plots, or dot plots to see your mean, median, mode, and outliers at a glance. A picture is worth a thousand numbers when you're exploring patterns. Data Analysis Resources
    11. pdesas.org
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