Question

Question #be751

Answer 1

The is no Mode because each number occurs once.

Median = `2`

Mean = `19/9 = 2 1/9`

Explanation:

Let's arrange them in order first:
`(4/3 = 1 1/3)`

`4/3" "2" "3`

The MODE is the value which occurs the MOST often. In this case there is no mode, because there is only one of each value.

The `color(blue)"MEDIAN"` is the middle value of a set of data arranged in order.
There are three values given, the middle one is `2`. This is the median.

`4/3" "color(blue)(2)" "3`

The MEAN is what is usually regarded as the 'average'.

Add all three values together and divide by `3`.

`1 1/3 +2 +3 = 6 1/3`

`(6 1/3)/3 = 19/3 div 3`

`19/3 xx 1/3 = 19/9`

Mean = `19/9 = 2 1/9`

Answer 2

`"Mean:"` `frac(19)(9)`

`"Median:"` `2`

`"Mode:"` `"no mode"`

Explanation:

We have: `frac(4)(3), 3, 2`

The mean, or average, of a set of numbers is found by adding the numbers, and then dividing the result by how many numbers were added.

For example, we are provided with three numbers, so we add them, and then divide the result by `3`:

`Rightarrow "Mean" = frac(frac(4)(3) + 3 + 2)(3)`

`Rightarrow "Mean" = frac(frac(4)(3) + frac(9)(3) + frac(6)(3))(3)`

`Rightarrow "Mean" = frac(frac(19)(3))(3)`

`therefore "Mean" = frac(19)(9)`

Therefore, the mean of the set is `frac(19)(9)`.

In order to find the median, the numbers must be listed in ascending order.

`" " " " " " " " " " " " " " " " " " " " " frac(4)(3), 2, 3`

The median is the "middle" value of the list.

The formula for finding the middle number is `("number of terms"` `+ 1) div 2`:

`Rightarrow "Middle term" = (3 + 1) div 2`

`Rightarrow "Middle term" = 4 div 2`

`therefore "Middle term" = 2"nd term"`

Therefore, the median of the set is `2`.

The mode of a set of numbers is the number that is repeated most frequently.

In this case, all three numbers are presented once only.

When there is no number that repeats more than another, there is no mode.

Therefore, the set has no mode.