Question

Find the average of all prime numbers between 30 and 50

Answer 1

First, we will write all the prime numbers between 30 and 50

Prime numbers between 30 and 50 are 31, 37, 41, 43, 47

We know that,

Average = $\dfrac{\tt{Sum\:of\:observations}}{\tt{Total\:number\:of\:observations}}$

Sum of observations = 31 + 37 + 41 + 43 + 47 = 199

Total number of observations = 5

Average (A) = $\dfrac{\tt{Sum\:of\:observations}}{\tt{Total\:number\:of\:observations}}$

☛ A = $\dfrac{199}{5}$

☛ A = 39.8

∴ The average is $\large{\boxed{\boxed{\rm{39.8}}}}$

Answer 2

$\sf\underline{Step-by-step \: explanation}$

All the prime numbers between 30 and 50 are,

31 , 37 , 41 , 43 and 47.

To find,

$\bold{Average}$

$\sf\underline{Average \: =}$

$\frac{sum \: of \: all \: observations}{no. \: of \: observations}$

Number of observations = 5 (The prime numbers are the observations)

Sum of observations = 31 + 37 + 41 + 43 + 47 = 199

$\dfrac{199}{5}$

After Cancellation...

39.8

Hence, the average of all the prime numbers between 30 and 50 is

${\huge{\boxed{\boxed{39.8}}}}$