• Problem:
If x is a natural number in the set x, x+1, x+4, x, x+5,x-1, find the:
• Answers:
a) Mean
[tex] \large \tt \frac{(x) + ( x+1) + (x+4) + ( x) + ( x+5) + (x-1)}{6} \\ \large \tt \frac{x+ x+1 + x+4+ x + x+5 + x-1}{6} \\ \large\tt\frac{6x + 9}{6} = \boxed{ \tt x + \frac{3}{2} }[/tex]
It is the average in which you need to all the given numbers and divide it by the number of values in the set.
b) Median
[tex]\large\tt x-1, \: x, \: \blue x, \: \blue{x+1}, \: x+4, \: x+5[/tex]
[tex] \large \boxed{ \tt \frac{x + (x + 1)}{2} = \frac{2x + 1}{2} = x + \frac{1}{2} }[/tex]
When the data set is ordered from least to greatest, the value in the middle will be the median.
c) Mode
[tex] \huge \boxed{ \tt x}[/tex]
Since data x appears more than once in the given set of data, it is the mode.
