Question

The mean of the
20
values in a given dataset is
50
. When these values are rearranged in a certain order, the mean of the first
10
values and the last
11
values are
40
and
60
respectively. Find the tenth value after the rearrangement.​

Answer 1

Answer:

Which one's answer do you want

The Picture one

Or the Written question

If you want the pictures ans then rate 3.0

if written question then rate 4.0

Answer 2

Answer:

The tenth value after the rearrangement is $60$.

Step-by-step explanation:

Concept:

Average is also referred to as mean. Add all the numbers together and divide by the total number of values in the data set to determine the mean.

Given:

It is given that the mean of the $20$ values in a given dataset is $50$.

When in a certain order, these values are rearranged, the mean of the first $10$ values and the last $11$ values are $40$ and $60$ respectively.

To find:

We have to find the tenth value after the rearrangement.

Solution:

The mean of the $20$ values in the provided dataset is $50$.

So sum of $20$ values in the provided dataset,

$= 20 * 50\\= 1000$

The means of the first $10$ numbers and the last $11$ values are now $40$ and $60$, respectively, when these data are rearranged in a specific Order.

Sum of first $10$ values in the dataset

$= 10 * 40\\= 400$

Sum of last $11$ values in the dataset

$= 11 * 60\\= 660$

So the required tenth value after the rearrangement

$=(400+660)-1000\\=1060-1000\\=60$

Thus, the required tenth value is $60$.

#SPJ3