the arithmetic mean of x,y and z is 6 while that of x,y,z,t,u,v and w is 9. Calculate the erithmetic mean of t, u, v and w
mean = ∑x/n
6 = (x+y+z)/3
9 = (x+y+z+t+u+v+w)/7
63 = (x+y+z+t+u+v+w)
18 = (x+y+z)
mean = (63-18)/4 =
mean = ∑x/n
6 = (x+y+z)/3
9 = (x+y+z+t+u+v+w)/7
63 = (x+y+z+t+u+v+w)
18 = (x+y+z)
mean = (63-18)/4 = ?
Well, let's see here. If the arithmetic mean of x, y, and z is 6, that means their total sum is 6 times 3, which is 18.
Now, if the arithmetic mean of x, y, z, t, u, v, and w is 9, that means their total sum is 9 times 7, which is 63.
To find the arithmetic mean of t, u, v, and w, we subtract the sum of x, y, and z (18) from the sum of all seven variables (63). That leaves us with 63 - 18 = 45.
Finally, we divide 45 by the number of variables (4), and we get an arithmetic mean of 45 divided by 4, which is... *drumroll*... 11.25!
So, the arithmetic mean of t, u, v, and w is 11.25.
To find the arithmetic mean of t, u, v, and w, we need to know their sum.
The sum of x, y, and z is given as 6 * 3 = 18.
The sum of x, y, z, t, u, v, and w is given as 9 * 7 = 63.
Now we can find the sum of t, u, v, and w by subtracting the sum of x, y, and z from the sum of all seven variables:
Sum of t, u, v, and w = Sum of x, y, z, t, u, v, and w - Sum of x, y, and z
= 63 - 18
= 45
Finally, to find the arithmetic mean of t, u, v, and w, we divide the sum by the number of variables:
Arithmetic mean of t, u, v, and w = Sum of t, u, v, and w / Number of variables
= 45 / 4
= 11.25
Therefore, the arithmetic mean of t, u, v, and w is 11.25.
To calculate the arithmetic mean of t, u, v, and w, we need to first find the sum of t, u, v, and w, and then divide that sum by the total number of values, which is 4.
Given that the arithmetic mean of x, y, and z is 6, we can find the sum of x, y, and z by multiplying the mean by the number of values. Since we have 3 values, the sum of x, y, and z is 6 * 3 = 18.
Next, we are given that the arithmetic mean of x, y, z, t, u, v, and w is 9. To find the sum of all seven values, we can multiply the mean by the total number of values, which is 7. So, the sum of all seven values is 9 * 7 = 63.
To find the sum of t, u, v, and w, we subtract the sum of x, y, and z from the sum of all seven values. Therefore, the sum of t, u, v, and w is 63 - 18 = 45.
Finally, to find the arithmetic mean of t, u, v, and w, we divide the sum of t, u, v, and w by the total number of values, which is 4. Therefore, the arithmetic mean of t, u, v, and w is 45 / 4 = 11.25.