Statistics: How to Tell Mode and Median Apart Practice
Practice finding the most common value and the middle value
Statistics: How to Tell Mode and Median Apart Practice
Practice finding the most common value and the middle value
Statistics - Grade 6-8
- 1
The quiz scores for one group are 7, 9, 8, 7, 10, 6, and 7. Find the mode and explain what it means.
Look for the number that repeats the most.
The mode is 7 because it appears more often than any other score. It means 7 was the most common quiz score in the group. - 2
The number of books read by students is 1, 4, 2, 5, 3, 6, and 7. Find the median and explain how you found it.
The median is 4. When the numbers are ordered as 1, 2, 3, 4, 5, 6, 7, the middle number is 4. - 3
A data set is 12, 15, 12, 18, 20, 12, and 16. Which measure is 12, the mode or the median? Explain.
The mode is about frequency, and the median is about position after sorting.
The value 12 is the mode because it appears three times, more than any other number. It is not the median because the ordered list is 12, 12, 12, 15, 16, 18, 20, and the middle value is 15. - 4
Find the median of this data set: 3, 9, 4, 8, 6, and 10.
For an even number of values, average the two middle numbers.
The median is 7. After ordering the data as 3, 4, 6, 8, 9, 10, the two middle values are 6 and 8, and their average is 7. - 5
The shoe sizes in a class group are 6, 7, 7, 8, 8, 8, 9, and 10. Find the mode and the median.
The mode is 8 because it appears most often. The median is 8 because the two middle values in the ordered list are 8 and 8, and their average is 8. - 6
A dot plot shows the numbers of pets owned by students. There are 2 dots above 0, 4 dots above 1, 3 dots above 2, 1 dot above 3, and 1 dot above 4. What is the mode?
On a dot plot, the tallest stack shows the mode.
The mode is 1 because 1 pet has the most dots above it. This means 1 pet is the most common number of pets owned by the students. - 7
The temperatures in degrees Fahrenheit for one week were 68, 70, 72, 70, 75, 73, and 70. Find the mode and median. Are they the same?
The mode is 70 because it appears three times. The median is 70 because the ordered list is 68, 70, 70, 70, 72, 73, 75, and the middle value is 70. Yes, they are the same in this data set. - 8
A data set is 2, 2, 5, 7, 9, 11, and 11. Does this data set have one mode, two modes, or no mode? Explain.
A data set can have more than one mode if the highest frequency is shared.
This data set has two modes, 2 and 11. Both values appear twice, and no other value appears more often. - 9
A table shows the number of goals scored by a soccer team in each game: 0 goals in 2 games, 1 goal in 5 games, 2 goals in 3 games, and 3 goals in 1 game. What is the mode number of goals?
The mode is 1 goal because it happened in 5 games, which is more often than any other number of goals. - 10
The ages at a club meeting are 11, 12, 12, 13, 13, 14, 15, and 40. Which measure better describes the middle of most students' ages, the median or the mode? Explain.
The median is often useful when there is an unusually large or small value.
The median better describes the middle of most students' ages. The median is 13, while there are two modes, 12 and 13, and the value 40 is an outlier that could make other measures less helpful. - 11
A line plot shows test retake counts. The data values are 0, 0, 1, 1, 1, 2, 4, 4, and 5. Find the mode and the median.
The mode is 1 because it appears three times, more than any other value. The median is 1 because the ordered data set has 9 values, and the 5th value is 1. - 12
Maria says, "The median is the number that happens the most." Is Maria correct? Correct her statement and give a short example.
Use the words most common and middle in your correction.
Maria is not correct. The mode is the number that happens the most, and the median is the middle value after the data are put in order. For example, in 1, 2, 2, 4, 9, the mode is 2 and the median is 2, but they are found for different reasons.