The mean of the data 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5. Based on this information, is it correct to say that the mean of the data 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10? Give reason.

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Solution

●As we can observe that the given second data is exactly similar to the first data, Just multiplied with 2 and order is reversed.
● So, similarly, to find the mean we can multiply the mean of the first data by 2 which will be equal to 10.

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Q. Tell how many times!

9 + 9 + 9 + 9 + 9 + 9	= 6 × 9	= 54
4 + 4 + 4 + 4 + 4	= 5 × 4	= 20
8 + 8 + 8	=____ × 8	= ____
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Q. If set A = {4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15, 18} and set C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then find A ∩ C.

If A = {3, 6, 9, 12, 15, 18, 21}
B = {2, 4, 6, 8, 10, 12, 14, 16}
C = {5, 10, 15, 20}

$\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

Q. Find the mean derivation from the mean for the following data

$x_{1}$	$2$	$5$	$6$	$8$	$10$	$12$
$y_{1}$	$2$	$8$	$10$	$7$	$8$	$5$

Let $ξ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15},$ $A = {2, 4, 6, 8, 10},$ $B = {3, 6, 9, 12, 15}$ and $C = {0, 5, 10, 15}$

Find $A' \cap B$

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The mean of the data 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5. Based on this information, is it correct to say that the mean of the data 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10? Give reason. ​ ​

●As we can observe that the given second data is exactly similar to the first data, Just multiplied with 2 and order is reversed. ● So, similarly, to find the mean we can multiply the mean of the first data by 2 which will be equal to 10.

The mean of the data 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5. Based on this information, is it correct to say that the mean of the data 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10? Give reason.

●As we can observe that the given second data is exactly similar to the first data, Just multiplied with 2 and order is reversed.
● So, similarly, to find the mean we can multiply the mean of the first data by 2 which will be equal to 10.