Math, asked by BLLpoornima, 8 days ago

the mean of 8, 10, x+1, x+3, x+4 and 19 is 13. Find the value of x​

Answers

Answered by ramashankartiwari99
0

Answer:

THIS IS THE RIGHT ANSWER

Attachments:
Answered by CopyThat
10

Answer:

  • The value of x is 11.3.

Step-by-step explanation:

Given:

The mean of 8, 10, x + 1, x + 3, x + 4, 19 is 13.

To find:

The value of x.

Solution:

  • Mean/Average is given as:

Sum of all observations/Total number of observations

⇒ 8 + 10 + x + 1 + x + 3 + x + 3 + 19/6 = 13

⇒ 8 + 10 + x + 1 + x + 3 + x + 3 + 19 = 13 × 6

⇒ 8 + 10 + x + 1 + x + 3 + x + 3 + 19 = 78

⇒ 44 + 3x = 78

⇒ 3x = 34

∴ x = 11.3

Verification:

Sum of all observations/Total number of observations

⇒ 8 + 10 + 11.3 + 1 + 11.3 + 3 + 11.3 + 3 + 19/6 = 13

⇒ 77.9/6 = 12.98 ≈ 13

∴ L.H.S = R.H.S

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