Samples
Find the mean and the mode of the following set of data
1.) 2,3,5,7,9,9,10,11,14,and 18
2.) 3,5,8,10,12,15,and 16
3.) 2,3,4,4, 5,5,7,7,7,and 9
Solution
1. Data set: 2, 3, 5, 7, 9, 9, 10, 11, 14, 18
Mean = (2 + 3 + 5 + 7 + 9 + 9 + 10 + 11 + 14 + 18) / 10 = 8.8
Mode = 9 (because it appears most frequently, twice)
2. Data set: 3, 5, 8, 10, 12, 15, 16
Mean = (3 + 5 + 8 + 10 + 12 + 15 + 16) / 7 = 9.857 (rounded to 3 decimal places)
Mode = No mode (all values occur only once)
3. Data set: 2, 3, 4, 4, 5, 5, 7, 7, 7, 9
Mean = (2 + 3 + 4 + 4 + 5 + 5 + 7 + 7 + 7 + 9) / 10 = 5.3
Mode = 7 (because it appears most frequently, three times)
So, the mean and mode for each set of data are as follows:
1. Mean: 8.8, Mode: 9
2. Mean: 9.857, Mode: No mode
3. Mean: 5.3, Mode: 7
[mediator_tech]
1. The __________ is calculated by summing up all the values in a dataset and dividing by the total number of values.
a) Median
b) Mode
c) Mean
2. In a dataset, the __________ is the value that appears most frequently.
a) Mean
b) Median
c) Mode
3. The average of a set of values is also known as the __________.
a) Mode
b) Median
c) Mean
4. To find the mode, you look for the __________ that occurs most often in a dataset.
a) Highest value
b) Lowest value
c) Value
5. If there are two values that appear most frequently in a dataset, it is called a __________.
a) Bimodal distribution
b) Unimodal distribution
c) Trimodal distribution
6. When calculating the mean, you __________ all the values and then divide by the total number of values.
a) Add
b) Multiply
c) Subtract
7. The __________ is not affected by outliers as much as the mean.
a) Mode
b) Median
c) Mean
8. If all values in a dataset are the same, the mode and mean will be __________.
a) Zero
b) Equal
c) Different
9. The measure of central tendency that’s best used for skewed data is the __________.
a) Mean
b) Median
c) Mode
10. The __________ is the value that separates the higher half from the lower half of a dataset.
a) Mode
b) Median
c) Mean
11. In a dataset, if there is no value that appears more than once, there is __________.
a) No mode
b) Only one mode
c) Multiple modes
12. The mode of a dataset is the value that occurs with the __________ frequency.
a) Highest
b) Lowest
c) Same
13. The mean can be affected by __________ values in a dataset.
a) Outliers
b) Modes
c) Medians
14. For a dataset with an even number of values, the median is the __________ of the two middle values.
a) Sum
b) Average
c) Difference
15. The __________ is the measure of how much the values in a dataset deviate from the mean.
a) Mode
b) Median
c) Standard Deviation
[mediator_tech]
Define the following 1. Mean 2. Median 3. Mode 4. Standard Deviation