Here

A chart of relative frequency of the numbers are given, please be informed they are not the actual frequency. The total of the relative frequencies will always be 1 or 100%

So when it says that the relative frequency of 2 is 0.10, that means that 2 occurs ten percent of the time.

Hence to find out the mean, let's calculate

\(\frac{[(0*18)+(1*33)+(2*10)+(3*6)+(4*33)]}{100}= \frac{203}{100} = 2.03\)

B) As per the table,

When x = 0, the relative frequency = 0.18, i.e. 0 occurs 18% of the time and similarly 1 occurs 33% of time

so 18 + 33 = 51, we are in the middle range and hence median = 1

You can also read more about distribution here:: https://www.mathsisfun.com/data/frequen ... ution.html
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Can someone please explain this?

Can someone please explain the median part for me, Thank you!

Hey zinabawad

The Median is the middle value of the set, when arranged in ascending order.

Now when we consider a set then we can say that the middle value will be exactly at the mid-way (50% of the set).

In the given set, \(X\)'s relative frequency is given.

\(0\) is happening for \(18\)%
then
\(1\) is happening for \(33\)%

When we arrange the value of \(X\) in ascending order, we can see that \(1\) will happen till the total is \((18 + 33)\)% \(= 51\)%, which covers the middle value of the set.

Hence we can say that the median value will be \(1\)

Please ask if not clear.

Regards,
R


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Let's say there are 100 values in the set.
The table tells us that 18% of those values are 0's. In other words there are 18 0's in the set.
and 33% of those values are 1's. In other words there are 33 1's in the set.
and 10% of those values are 2's
etc.

So, if we arrange those 100 values in ascending order, we get: {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,........}
Since we have an EVEN number of values, the median will be the average of the 50th and 51st terms.
Since we have 18 0's and 33 1's, the 50th and 51st terms must have both equal 1.
So, the median must be 1

As for the mean, let's add up all the values and divide by 100.
Sum of all 100 values = (18)(0) + (33)(1) + (10)(2) + (6)(3) + (33)(4)
= 0 + 33 + 20 + 18 + 132
= 203
So, the mean = 203/100 = 2.03
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