Statistic Review

Find the mean of these numbers:
5, 11, 2, 12, 4, 2

• 4.1

• 6

Answer explanation

To find the mean, add all numbers together and divide by the total count. (5+11+2+12+4+2)/6 = 36/6 = 6. Therefore, the mean is 6.

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease

• The median will increase

Answer explanation

Removing the outlier of 42 will decrease the mean of the data set since the mean is sensitive to extreme values like outliers.

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

• 5

• 3

Answer explanation

The mode is the number that appears most frequently in the data set. In this case, 5 appears 3 times, which is more than any other number, making 5 the mode.

Find the median:
5, 6, 3, 9, 0, 4, 1, 2, 7

• 5

• 4

Answer explanation

To find the median, first arrange the numbers in ascending order: 0, 1, 2, 3, 4, 5, 6, 7, 9. Since there are 9 numbers, the median is the middle number, which is 4.

What is the range?

• 10

• 12

Answer explanation

The correct answer is 10 because the range refers to the difference between the highest and lowest values in a set, which in this case is 10.

What is the MODE of this data?

• 90

• None

Answer explanation

The mode of the data is 90 because it appears most frequently compared to 85 and 95. Therefore, the correct choice is 90.

What is the MEDIAN of this data?

• 13

• 65

Answer explanation

The median is the middle value when the data is arranged in ascending order. In this case, the median is 65, as it is the middle value of the data set.

What is the MEAN for this data?

• 80

• 1040

Answer explanation

The mean is calculated by summing all values and dividing by the total number of values. In this case, the mean is 80, as it is the average of the data provided.

What is the median for this data set? Remember to list all of the data in order from least to greatest. Then find the median, which is the middle number in this ranked set of data.

• 1

• 4

Answer explanation

The median is the middle number when the data is arranged in order. The data set is 0, 1, 3, 4. The middle number is 1, making it the median.

Rank the data in order from least to greatest.

• 0, 0, 0, 0, 1, 1, 1, 2, 3

• 0, 0, 0, 1, 1, 1, 2, 2, 3

Answer explanation

The correct order is 0, 0, 0, 0, 1, 1, 1, 2, 3. This choice has the data ranked from least to greatest in the given list.