Question

Find the mean, median, and mode of 3, 5, 1, 5, 1, 1, 2, 3, 15 after each data value increases by 4.

The mean is and the
The median is
The mode is

Answer 1

Solving for the Mean, Median and Mode of a Data Set

Answer:

Mean:
`8`

Median:
`7`

Mode:
`5`

Explanation:

If we increase each element in the data set by
`4`, our new data set will be...

`\{ 7, 9, 5, 9, 5, 5, 6, 7, 19 \}`

The mean of a data set is the sum of all of its elements divided by the number of elements.

Solving for the mean:

`(7 +9 +5 +9 +5 +5 +6 +7 +19)/(9) \\ (72)/(9) \\ 8`

The median of a data set is just the middle number if and only if the elements of the data set is arranged according to how less to how great each element is.

If we arrange our data set it will be...

`\{ 5, 5, 5, 6, 7, 7, 9, 9, 19 \}`

We can do see that our middle number is
`7` so this our median.

The mode of a data set is the number that repeated the most. We can see in our data set that the number
`5` repeated
`3` times.
`6` and
`19` is
`1`.
`7` and
`9` is
`2`. Since
`5` is the number that repeated the most, this is our median.

Answer 2

Hey there!

Mean is your average.

• You find it by

ADDING all of

your numbers

and DIVIDING

it by the total

number in

your data

plot

Median is the number

in the MIDDLE

• You find it by putting

your numbers from

least to greatest

Mode is the number

that you see MORE

THAN ONCE

• you find it by

putting your numbers

from smallest to biggest

Answering your question….

YOUR ORIGINAL SET:

3, 5, 1, 5, 1, 1, 2, 3, 15

FINDING the [MEAN]

3 + [4] = 7

5 + [4] = 9

1 + [4] = 5

5 + [4] = 9

1 + [4] = 5

1 + [4] = 5

2 + [4] = 6

3 + [4] = 7

15 + [4] = 19

Total numbers in your data plot: 9

Equation:

7 + 9 + 5 + 9 + 5 + 5 + 6 + 7 + 19 / 9

= 16 + 5 + 9 + 5 + 5 + 6 + 7 + 19 / 9

= 21 + 9 + 5 + 5 + 6 + 7 + 19 / 9

= 30 + 5 + 5 + 6 + 7 + 19 / 9

= 35 + 5 + 6 + 7 + 19 / 9

= 40 + 6 + 7 + 19 / 9

= 46 + 7 + 19 / 9

= 53 + 19 / 9

= 72 / 9

= 8

Therefore, your MEAN is: 8

FINDING the [MEDIAN]

ORIGINAL SET;

3, 5, 1, 5, 1, 1, 2, 3, 15

YOUR EQUATION:

1, 1, 1, 2, 3, 3, 5, 5, 15

Therefore, your MEDIAN is: 3

FINDING the MODE

1, 1, 1, 2, 3, 3, 5, 5 15

1 is shown THREE TIMES

2 is shown ONE TIME

3 is shown TWO TIMES

5 is shown TWO TIMES

15 is shown ONE TIME

Therefore, your mode is: 1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)