- The mean is the sum of observations divided by number of observations.
- x bar = (∑x)/n
- The median is the middle value of the ordered data <u><em>or</em></u> the value of the interval n+1/2 for odd numbered data.
- The mode is the repeated value.
<h3>The highest value is 0</h3>
- Number of observations= n= 5
- Median is the 3rd value when the data is arranged.
- Mode is unknown
The relation between <u><em>Mean, Median</em></u> and <u><em>mode</em></u> is given by
Mode= 3 Median - 2Mean---- equation1
According to the given condition
Mode= 2+median ----- equation 2
Putting equation 2 in equation 1
2+median= 3 Median - 2Mean
2 Mean= 3 Median - 2- Median
2 Mean= 2 Median - 2
Mean= Median-1
Mean- Median=1--------Eq. A
According to the <u><em>second condition</em></u>
Median- Mode=-2-----------eq. 3
Putting eq. A in eq. 3
Mean -1 - Mode=-2
Mean- Mode=-1
or
Mode- Mean=1------equation 4
Adding <u><em>equation A</em></u> and <u><em>equation4</em></u>
Mode- Mean=1
<u>Mean- Median=1</u>
<u>Mode+ Median =2------- equation5</u>
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Again Putting equation2 in equation 5
2+median + Median =2
2 Median =2-2
2 Median =0
Median=0
Mean= 0-1
Mean= 0-1=-1
Mode- Mean=1
Mode-(-1)=1
Mode=0
Putting values in the formula of mean
x bar =∑x/5
(-1)5 = 0+0+ x1+x2+0
-5= x1+x2
<u><em>So the highest value is 0.</em></u>
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