Question

Find the mean, median, and mode of the data set. Round to the nearest tenth.

15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5
Choose one answer.
a. mean = 6.8, median = 5, mode = 4
b. mean = 7.5, median = 5, mode = 4
c. mean = 7.5, median = 8, mode =4
d. mean = 6.8, median = 5, mode = 8

Answer 1

The mean is the average, add up the numbers and divide by how many numbers there are.


`\sf~Mean=(15+1+4+4+8+7+15+4+15+4+5)/(11)`

Add:


`\sf~Mean=(82)/(11)`

Divide:


`\sf~Mean\approx7.5`

The median is the middle number. First, line up the numbers in order of least to greatest.

1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15

Now find the number in the middle:

That number is 5, so that's our median.

The mode is the most repeated number.

As you can see, 4 is repeated the most, so it's the mode.

Answer 2

First im gonna organize the numbers from smallest to biggest:
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 ( These are 11 numbers)

For mean, you have to add all the numbers then divide it by 11.
The answer is about 7.5

For median, you have to find the "middle number, but you have to organize the numbers from smallest to largest like I did.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 . 5 is the middle number, well because its in the middle

For mode you have to find the number that is most repeated.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 (there are three 15's)
There are four 4's so the answer is 4


The answer, then is B