Suppose thattis a data set with the values{3,6,7,4,6,5, x}. if the mean and median oftareequal, what is the sum of all possible values ofx?

15

Step-by-step explanation:

We are given that a set

T={3,6,7,4,6,5,x}

Arrange in ascending  order

3,4,5,6,6,7,x

Sum of data=3+4+5+6+6+7+x=31+x

Total number of observations=7

Mean=

Mean=

n is odd therefore median=observation

If x is less than 6

Median=5

Median=Mean

If x is greater than 5

Median=6

The sum of possible values of x=4+11=15

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

answer: about 22.67

step-by-step explanation: