Question

The middle of three numbers is 18 and the median of four numbers is 20. What is the smallest number?​

Answer 1

Answer:

Average Calculator.

Calculate Average and Range

Enter Your Numbers to Right

With a Comma Between Each

E.g: 3, 19, 9, 7, 27, 4, 8, 15, 3, 11

Total Numbers in Set:

Mean (Average):

Median (Middle):

Mode (Most Common):

Range (Biggest - Smallest):

Ascending Order:

Decending Order:

Even Numbers:

Odd Numbers:

Math Definition

Mean

The average of all the data in a set.

Median

The value in a set which is most close to the middle of a range.

Mode

The value which occures most frequently in a data set.

Range

The difference between the largest and smallest data in a data set.

Example Calculation

Calculate the mean, median, mode and range for 3, 19, 9, 7, 27, 4, 8, 15, 3, 11.

How to Find the Mean (or Average Value)

To figure the mean, add up the numbers, 3+3+4+7+8+9+11+15+19+27=106 then divide it by the number of data points 106/10=10.6.

How to Find the Median

In ascending order the numbers are 3, 3, 4, 7, 8, 9, 11, 15, 19, 27. There are 10 total numbers, so the 5th and 6th numbers are used to figure the median. (8+9)/2 = 8.5

If there were 9 numbers in the series rather than 10 you would take the 5th number and would not need to average the 2 middle numbers. The 2 middle numbers only need to be averaged when the data set has an even number of data points in it.

How to Find the Mode

The only number which appears multiple times is 3, so it is the mode.

How to Find the Range

To figure the range subtract the smallest number from the largest number 27-3=24.

Step-by-step explanation:

hope it's helpful for you☺☺

Answer 2

$\mathtt{\sf{\green{\LARGE{\boxed{Question:--}}}}}$

The middle of three numbers is 18 and the mean of four numbers is 20. What is the fourth number?

$\mathtt{\sf{\red{\LARGE{\boxed{AnsWer}}}}}$

• Mean = The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Mean =add of observation/number of observation

let numbers be$\sf\green{x^1,x^2,x^3,x^4 }$

First Condition - mean of three numbers is 18

so,

⇨$\sf\green{x^1+x^2+x^3/3 = 18}$

⇨$\sf\green{x^1+x^2+x^3 = 18×3}$

⇨$\sf\green{x^1+x^2+x^3 = 54}$

Second condition - mean of four numbers is 20.

so,

⇨ $\sf\green{x^1+x^2+x^3+x^4 = 20}$

⇨$\sf\green{x^1+x^2+x^3+x^4 = 20×4}$

$\red{[we\: already\: geted\: that]}$

$\sf\green{ x^1+x^2+x^3 = 54}$]

so,

⇨ $\sf\green{54+x^4 = 80}$

⇨ $\sf\green{x^4 = 80-54}$

⇨$\sf\green{x^4 = 26}$

$\mathtt{\sf{\blue{\LARGE{\boxed{⛗Hence,}}}}}$

• $\sf\green{x^4 = 26}$ fourth number is 26.