The mean of a set is the sum of the value divided by the number of values.
And the median is the middle number.
First, let’s find the mean. We will have the sum of:
And this will be divided by 3, the number of elements. Hence, the mean is:
This is equivalent to the median, in this case x.
Therefore, our equation is equal to x:
Solve for x. Multiply both sides by 3:
Subtract x from both sides:
Divide both sides by 2:
Hence, the value of x is 14.
5ab - 8a - 5b - 8
each of these can be divided by 5
Hence, <u>the answer to this question is '2³ × 3²'</u>. If you want the further simplified answer, <u>it is 72.</u>
Hoped this helped.
Kindly check explanation
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 > μ2
x1 = 21.1 ; n1 = 53 ; s1 = 1.1
x2 = 20.7 ; n2 = 46 ; s2 = 1.2
The test statistic :
(x1 - x2) / √[(s1²/n1 + s2²/n2)]
(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]
0.4 / 0.2326682
Test statistic = 1.719
The degree of freedom using the conservative method :
Degree of freedom = n - 1
Degree of freedom 1 = 53 - 1 = 52
Degree of freedom 2 = 46 - 1 = 45
Smaller degree of freedom is chosen ;
The Pvalue from Test statistic, using df = 45
Pvalue = 0.0462
Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.