Question

Work out the mean for the data set below:

2, 3, 6, 3, 5, 5, 3, 7


Give your answer as a fraction in its simplest form.

Answer 1

Explication of steps :

As per the provided information in the given question, we have to calculate the arithmetic mean of the data given in the question.

According to the question, we have been provided with the data that is,

• 2,3,6,3,5,5,3,7

Arithmetic mean is calculated by dividing the sum of the observations by the total number of observations.

Here,

⇒ Sum of observations = 2 + 3 + 6 + 3 + 5 + 5 + 3 + 7

⇒ Sum of observations = 34

Also,

⇒ Number of observations = 8

Now, as we know that,

$\implies \sf Mean = \dfrac{Sum \; of\; Observations}{Number \; of \; observations}$

$\implies \sf Mean =\cancel{ \dfrac{34}{8} }$

$\implies \boxed{\sf {Mean = \dfrac{17}{4 }}}$

∴ The mean of the given data is 17/4.

$\rule{200}2$