Question

find the mean of the following datas 5,10,15,20,25,30,also find the median also

Answer 1

Answer:

Step-by-step explanation: 105/6 = sum of total observations/total no. of outcomes =17.33 is the mean.

Answer 2

Given: Observations.

To find: The mean and median.

Answer:

Mean is the average of the observations.

Formula to do so:

$\tt Mean\ =\ \dfrac{Sum\ of\ all\ observations}{Total\ number\ of\ observations}$

Observations: 5, 10, 15, 20, 25 and 30.

Total number of observations: 6.

Using them in the formula,

$\tt Mean\ =\ \dfrac{5\ +\ 10\ +\ 15\ +\ 20\ +\ 25\ +\ 30}{6}\\\\\\Mean\ =\ \dfrac{105}{6}\\\\\\\bf Mean\ =\ 17.5$

Now let's find the median.

Before doing so, an important point to keep in mind is to arrange the observations in order of ascendance. In this case, it is already in order of ascendance. No further changes need to be made.

Formula to find the median:

$\tt When\ n\ (number\ of\ observations)\ is\ an\ odd\ number,\\\\\\Median\ =\ \dfrac{n\ +\ 1}{2}\\\\\\When\ n\ is\ an\ even\ number,\\\\\\Median\ =\ \dfrac{\bigg(\dfrac{n}{2}\bigg)\ +\ \bigg(\dfrac{n}{2}\ +\ 1\bigg)}{2}$

Since n is an even number (6), the second formula will be used.

$\tt Median\ =\ \dfrac{\bigg(\dfrac{6}{2}\bigg)\ +\ \bigg(\dfrac{6}{2}\ +\ 1\bigg)}{2}\\\\\\Median\ =\ \dfrac{3^r^d\ term\ +\ 4^t^h\ term}{2}\\\\\\Median\ =\ \dfrac{15\ +\ 20}{2}\\\\\\Median\ =\ \dfrac{35}{2}\\\\\\\bf Median\ =\ 17.5$