For which distributions is the median the best measure of center? select each correct answer.

Answer with explanation:

Let me start answering this Question like this.

Why Median came into existence because Mean was not good enough to provide better solution to Statistical Data Set.

What, is Median.Median of a discrete data set ,is Middle value in the data set when arranged in ascending or descending order.Suppose you have to find whether wages of Employee in certain Organization is appropriate or not.You will use two measure of variation for that Purpose: 1. Mean 2.Median

Consider Bar graph of Data set 1

Variate in set builder form ={10,15,20,25,30,35,30,25,20,15,10}

When arranged in ascending order ={10,10,15,15,20,20,25,25,30,30,35}=11(Odd)

Mean

Median =Mid value =20

Median  - Smallest variate =20 -10=10

Largest Variate - Median =35-20=15

→→→Consider Bar Graph of Data set 2

Variate in set builder form ={22,18,20,26,30,28,20,9,9,5,4,3,3,2}

When arranged in ascending order ={2,3,3,4,5,9,9,18,20,20,22,26,28,30}=14(Even)

Mean

Median

Median  - Smallest variate =13.5 - 2=11.5

Largest Variate - Median =30 -13.5=16.5

→→Consider Bar Graph of Data set 3

Variate in set builder form ={4,3,4,,4,5,5,5,4,5,5}

When arranged in ascending order ={3,4,4,4,4,5,5,5,5,5}=10(Even)

Mean

Median

Median  - Smallest variate =4.5 -3=1.5

Largest Variate - Median =5-4.5=0.5

Consider Bar graph of Data set 4

Variate in set builder form ={11,12,13,14,15,18,19,24,28,15,12,11}

When arranged in ascending order ={11,11,12,12,13,14,15,15,18,19,24,28}=12(even)

Mean

Median

Median  - Smallest variate =14.5 - 11=3.5

Largest Variate - Median =28 - 14.5=13.5

Drawing Box plot of four data set

Found that, for data set 3, median lies in the center.

Option 2 and Option 3

can you add an image ?

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus