Question

40, 98, 94, 102, 21, x; mean 88 find value of x

Answer 1

The value of x in the sequence with a given mean of 88 is calculated to be 173 by adding the known numbers and solving for x using the mean formula.

Step-by-step explanation:

To find the value of x in the sequence '40, 98, 94, 102, 21, x' with a mean of 88, we use the formula for mean:

1. Add up all the numbers in the sequence including x.
2. Divide the sum by the total number of values in the sequence.
3. Solve for x to find its value using the known mean.

The calculation is as follows:

(40 + 98 + 94 + 102 + 21 + x) / 6 = 88

Multiply both sides by 6 to get rid of the denominator:

40 + 98 + 94 + 102 + 21 + x = 528

Add the known numbers to get a sum:

355 + x = 528

Subtract 355 from both sides to solve for x:

x = 528 - 355

x = 173

Therefore, the value of x is 173.