If the arithmetic average of the given data is 165, find the missing term.X: 100, 150, 200, x, 300, 500f: 30, 20, 15, 10, 4, 1a.225b.250c.275d.278.5

To find the missing term in the given data, we can use the arithmetic average formula. The arithmetic average is calculated by summing up all the terms and dividing by the number of terms.

In this case, we are given the arithmetic average as 165. We have the following data:

X: 100, 150, 200, x, 300, 500

To find the missing term, we need to calculate the sum of all the known terms and divide it by the total number of terms.

Sum of known terms = 100 + 150 + 200 + 300 + 500 = 1250

Number of known terms = 6

Now, we can use the arithmetic average formula:

Arithmetic average = Sum of terms / Number of terms

165 = 1250 / 6

To find the missing term, we can rearrange the formula:

Sum of terms = Arithmetic average * Number of terms

Sum of terms = 165 * 6 = 990

To find the missing term, we subtract the sum of the known terms from the total sum:

Missing term = Total sum - Sum of known terms

Missing term = 990 - 1250 = -260

Therefore, the missing term in the given data is -260.