Question

Identify the correct mean, median, and mode for the given data.
{2, 12, 8, 15, 8, 7, 3, 9}

Answer 1

Mean = 8

Median = 8

Mode = 8

Explanation:

Finding the mean:

The mean is the sum of all the data points divided by the total number of data points. Since there are 8 data points in total, we can find the sum and divide it by 8 to find the mean:

Mean = (2 + 12 + 8 + 15 + 8 + 7 + 3 + 9) / 8

Mean = (64) / 8

Mean = 8

Thus, the mean of the given data is 8.

Finding the median:

The median is the value that lies in the middle of the data. First, we must arrange the data in ascending numerical order:

2, 3, 7, 8, 8, 9, 12, 15.

Because there are 8 data points, we have two numbers in the middle, namely 8 and 8. In order to find the mean, we find the average of these two numbers:

Median = (8 + 8) / 2

Median = 16 / 2

Median = 8

Thus, the median of the given data is 8.

Finding the mode:

The mode is the most frequently occurring value in a data set. 8 occurs most frequently so the mode of the given data is 8.

Answer 2

Answer: all are 8

Mean:8
Median:8

Mode: 8

Explanation:

Mean is the average: add all them up and divide by how many numbers there are

Median: is basically the middle number: put the line in number order and find the number in the middle

Mode: most frequent number