Question

The mean of 6 numbers is 11. If five of them are 12, 10, 13, 7 and 8

then the 6th number is _____​

Answer 1

Answer:

• 16

Step-by-step explanation:

Given

• Mean of 6 numbers is 11.
• If five of the are 12, 10, 13, 7 and 8.

To find

• The 6th number.

Solution

↦ Mean = Sum of all observations/Total number of observations

• 11 = 12 + 10 + 13 + 7 + 8 + (x)/6
• 11 = 50 + x/6
• 11 × 6 = 50 + x
• 66 = 50 + x
• x = 66 - 50
• x = 16

∴ The 6th number (x) is 16.

Verification

• Mean = Sum of all observations/Total number of observations
• 11 = 12 + 10 + 13 + 7 + 8 + 16/6
• 11 = 66/6
• 11 = 11
• L.H.S = R.H.S

Answer 2

Given : The mean of 6 numbers is 11. If five of them are 12, 10, 13, 7 and 8

To Find : 6th number

Solution:

Let say 6th number = x

then 6 numbers  are

x ,  12, 10, 13, 7 and 8

Sum fo all 6 numbers =  x + 12 + 10 + 13 + 7 + 8

=x + 50

Number of observations = 6

Mean = Sum of all observations / Number of observations

=> 11  =   (x + 50)/ 6

=> 66 = x + 50

=> 16 = x

Hence 6th number is 16

Learn More:

the mean of 11 numbers is 42 if the mean of the first six number is 37 ...

brainly.in/question/7268521

summation of numbers 1to1000000..​ - Brainly.in

brainly.in/question/8841720