Question

Calculate the approximate mean and standard deviation for following data:25,7,22,33,18,15​

Answer 1

$\large\underline\mathfrak\red{Given \: Data \: :- }$

• Data : 25,7,22,33,18,15

$\large\underline\mathfrak\red{To \: find \: :- }$

• Approximate mean

$\large\underline\mathfrak\red{Solution \: :- }$

Required Formula

${\large{\underline{\boxed{\sf{mean = \frac{sum \: of \: all \: observations}{number \: of \: all \: observations} }}}}}$

Information about mean :

• There are several kinds of mean in mathematics, especially in statistics: For a data set, the arithmetic mean, also known as average or arithmetic average, is a central value of a finite set of numbers: specifically, the sum of the values divided by the number of values.

Finding mean

$\large\sf{mean = \frac{25 + 7 + 22 + 33 + 18 + 15}{6} } \\ \large\sf{mean = \frac{120}{6} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large\sf{mean = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Approximate mean is 20unit.