Mean
Find the mean of these numbers: 4, 6, 8, 10
7
Find the median of:6, 7, 6, 7, 6
6
Find the mode of: 2, 4, 6, 4, 8
4
A student recorded temperatures over a week: 12°C, 18°C, 15°C, 20°C, 14°C, 17°C, 19°C
Find the range.
8°C
A teacher wants to describe the most typical test score in a class where most students scored between 70–80, but one student scored 10. Which measure of central tendency is best?
Median (because the low outlier would affect the mean)
A basketball player scored 14, 18, 20, 16, and 22 points in five games. What was the mean number of points scored?
18
Find the median of: 12, 4, 18, 10, 6
10
Find the mode of: 5, 7, 9, 5, 7, 11, 5, 7
5 and 7
Find the range of: -12, -5, -18, -3, -9, -15
15
A store wants to know the most popular shoe size sold in a week. Which measure of central tendency is best?
Mode (because it shows the most common value)
Find the mean of these decimal numbers: 3.5, 4.2, 5.1, 2.8, 4.4
4
Find the median of: 14, 8, 20, 16, 10, 18
15
Find the mode of 1, 2, 6, 8, 3, 7, 10, 12
No Mode
Find the range of: -8, -3, -15, 2, 0, -6
17
A class has test scores: 50, 55, 60, 62, 63, 64, 95. The teacher wants a fair “typical score” that is not affected by the 95. Which measure should they use?
Median (because the 95 is an outlier)
The mean of 8 test scores is 76. After another student’s score is added, the mean becomes 78. What was the new student’s score?
94
Find the median of these decimal numbers: 4.6, 7.2, 5.1, 8.3, 6.4, 5.9
6.15
Find the mode of: 6, 9, 12, 6, 15, 9, 6, 9, 12, 12.
6, 9 and 12
Find the range of these decimal numbers: 4.6, 7.2, 3.8, 9.1, 5.5, 6.3
5.3
A researcher is studying daily temperatures over a month. The data has no extreme outliers and changes gradually each day. Which measure is most appropriate to describe the overall temperature?
Mean (because it uses all values and there are no extreme outliers)
The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 16, and 18. What is the missing number?
20
What could the value of x be? Give one possible answer.
Any number less than or equal to 18
A class recorded the number of books they read in a month:
2, 7, 5, 3, 8, 5, 6, 2, 9, 5, 7, 3, 5, 4, 6, 7, 5, 1, 7
What is the mode?
5
The range of a data set is 18. The highest value is 42. What is the lowest value?
24
The coach is analyzing a swimmer’s lap times (in seconds):
52, 53, 51, 54, 53, 52, 90
The coach wants to report a typical performance time that best represents how the swimmer usually performs, but the 90 seconds was caused by a fall during one lap.
Which measure of central tendency should the coach use, and why?
Median
Because the 90-second outlier would increase the mean and make it not represent typical performance. The median is not affected by extreme values.