Question

Calculate the mean deviation of the following data: 3, 6, 5, 7, 10, 12, 15, 18​

Answer 1

Answer:

3+6+5+7+10+12+15+18/8

= 76/8

= 9.5 is ur answer

Step-by-step explanation:

hope it help you

Answer 2

Given:

We have given a set of data which have numbers 3, 6, 5, 7, 10, 12, 15, 18​.

To Find:

We have to find the mean deviation of the of data?

Step-by-step explanation:

• We have given the data which is 3, 6, 5, 7, 10, 12, 15, 18​.
• First of all, we will find the mean of the given data which is calculated by dividing the sum of observations by a total number of observations.
• The Sum of the given observations will be calculated as

        $Sum=3+6+5+7+10+12+15+18=76$

• Now mean of the given data set will be given as below

        $Mean=\frac{76}{8} =9.5$

• Now we will find the absolute difference between each term of data with mean which is given below as

         $|3-9.6|=|-6.6|=6.6\\|6-9.6|=|-3.6|=3.6\\|5-9.6|=|-4.6|=4.6\\|7-9.6|=|-2.6|=2.6\\|10-9.6|=|0.4|=0.4\\|12-9.6|=|2.4|=2.4\\|15-9.6|=|5.4|=5.4\\|18-9.6|=|8.4|=8.4$

• Now We get the observations 6.6, 3.6, 4.6, 2.6, 0.4, 2.4, 5.4, 8.4.
• Now we will calculate the mean with the above data which will give a mean deviation about the mean.

• Sum of the above data will be

         $6.6+3.6+4.6+2.6+0.4+2.4+5.4+8.4=34$

• Now the mean deviation will be given as

        $\textrm{Mean deviation about mean}=\frac{34}{8}=4.25$

Hence, the mean deviation about mean is 4.25