Question

- The mean of five numbers is 10. The mean of other five numbers is 12. Find the mean of all the numbers. *​

Answer 1

Answer:

11

Step-by-step explanation:

Mean = sum/no. of given observations.

Here, mean of first five numbers:

=> 10 = (sum of five numbers)/5

=> 50 = sum of five numbers.

Similarly, sum of other five numbers is 12 x 5 = 60.

Now, all together,

=> sum of numbers = 50 + 60 = 110

=> total numbers = 5+5 = 10

Therefore,

Mean of 10 numbers = 110/10 = 11

Answer 2

Required Answer:-

Given:

• The mean of 5 numbers is 10.
• The mean of other 5 numbers is 12.

To find:

• Mean of all the numbers.

Answer:

• The mean of all the numbers is 11.

Solution:

Given that,

Mean of 5 numbers = 10

So, Total of 5 numbers,

= 5 × 10

= 50

Again,

Mean of other 5 numbers = 12

So, Total of 5 numbers,

= 12 × 5

= 60

Sum of all the numbers

= 50 + 60

= 110

Total observations whose sum is 110

= 10

So, mean = Sum of numbers/Total number of observations

= 110/10

= 11

➡ Hence, the mean of 10 numbers is 11.

Learn More:

• Mean: Mean of a number of observation is the sum of the values of all the observations divided by the total number of observations/variates.
• Median: Median is the central value (or middle observation) of a statistical data arranged in either ascending order or descending order.
• Mode: Mode of any given data is the value that occurs most often.

Formula for mean and median:

For mean,

The mean of n observations $x_{1}, x_{2}, x_{3},...x_{n}$ is given by

$\sf Mean = \frac{ x_{1} + x_{2} + ...x_{n} }{n} = \frac{ \sum x_{i}}{n}$

Where,

$\sf \sum x_{i} = x_{1} + x_{2} + ...x _{n}$

For median,

If number of observations is odd then,

$\sf \small Median = \big ( \frac{n + 1}{2} \big) \small th \: observation$

If the number of observations is even then,

$\sf \small Median = \frac{1}{2} \bigg \{ \big ( \frac{n }{2} \big) \small th \: term + \big(\frac{n}{2} + 1 \big)th \: term \bigg \}$