Question

Each of 6 students reported the number of movies they saw in the past year. this is what they reported.

10,10,19,10,6,6
Find the median and the mean.
Round to the nearest 10th if possible.

Answer 1

Median- 10

Mean- 10.1666667

Explanation:

To find the median you have to put all the numbers in order:

6, 6, 10, 10, 10, 19

Then find the middle number (s):

Since there is a even set of numbers there will be 2 middle numbers:

10, 10

Now add both of the numbers:

10 + 10

= 20

Now divide by 2

20 ÷ 2

= 10

Now we have to find the mean

We can find the mean in 2 steps:

Step 1- Add all the numbers:

6 + 6 + 10 + 10 + 10 + 19

= 61

Step 2- Divide your answer by how many numbers there are:

61 ÷ 6

= 10.1666667

Hope this helps.

Answer 2

Given:

• 
  `\bold{10, \: 10, \: 19, \: 10, \: 6, \: 6}`

To find:

• Median
• Mean

Solution:

Let's find the median.

First, arrange the numbers in either ascending or descending order and find the middle number.

6, 6, 10, 10, 10, 19

Since, there's two numbers in the middle, we'll have to add both the numbers.

`10 + 10`

`\bold{= 20}`

Now, we'll have to divide the total by 2

`(20)/(2)`

`\large\boxed{\bold{Median=10}}`

Now, let's find the mean.

First, we'll have to add all the numbers given in the data set.

`10+10+19+10+6+6`

`\bold{=61}`

Now, we'll have to divide the total by the number values given in the data set.

`(61)/(6)`

Calculator value:

`\bold{=10.1666666667}`

Now, we can round off to the nearest tenth.

The value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

Final answer:

`\large\boxed{\bold{Mean=10.2}}`

Hence, the median of the data set is 10 and the mean is 10.2