Mean
Median
Mode
Range
Interpreting Data
100
How do you calculate the mean? Provide an example.
Add up all the numbers in the data set, then divide by how many numbers there are.
E.g. the mean for 2, 3, 4, 5 is 3.5
100
How do you calculate the median? Provide an example.
Place the numbers in order from least to greatest, then find the middle number.
E.g. 2, 3, 4, 5, 5. The median is 4.
100
How do you find the mode? Provide an example.
Find the number that appears the most often in a data set. There can be no mode or more than one mode.
E.g. 2, 3, 4, 4, 5, 6. The mode is 4.
100
How do you calculate the range?
Subtract the biggest number from your lowest number in the data set.
E.g. 2, 3, 4, 5. The range is: 5-2=3
200
Find the mean from the data set:
2.5, 2, 3.4, 4.3, 3, 4
Mean: 3.2
200
Find the median from the data set:
2.5, 2, 3.4, 4.3, 3, 4
Median 3.2
200
Find the mode from the data set:
2.5, 2, 3.4, 4.3, 3, 4
Mode: none
200
Find the range from the data set:
2.5, 2, 3.4, 4.3, 3, 4
Range: 2.3
300
Find the mean from the data set:
12, 15, 15, 28.5, 10, 13
Mean: 15.5
300
Find the median from the data set:
12, 15, 15, 28.5, 10, 13
Median: 14
300
Find the mode from the data set:
12, 15, 15, 28.5, 10, 13
Mode: 15
300
Find the range from the data set:
12, 15, 15, 28.5, 10, 13
Range: 18.5
400
Mean: 169.3 bpm
400
What is the median of the data set? Show your work.
8.2, 4.5, 3.3, 4.5, 7, 5.5
Median: 5
400
What is the mode from the data set
Mode: 168 bpm
500
The mean of 6 numbers is 5.5.
If five of the numbers are 8.2, 4.5, 3.3, 4.5, and 7 what is the sixth number? Show your work.
Mean: 5.5
1. Find out how many numbers are in the data set. (6)
2. Multiply the given mean by how many numbers are in the data set (5.5 x 6 = 33).
3. Add all the known numbers in your data set (27.5).
4. Subtract the sum of the known numbers from the total sum calculated in step 2 to find the missing number. (33 - 27.5 = 5.5).
500
What is the median of the data set?
Median: 168 bpm
500
Which measure of central tendency do you think best shows her bpm after running 5 km? Explain.
Since all 3 central tendencies are similar, I would choose the median or mode because most data falls around 168 bpm.