Answer:
35
Explanation:
To find the value of x that makes the median and mean equal, we first need to determine the median of the data set. In this case, the median is the middle value when the data is arranged in order. Since there are 7 values, the median is the fourth value, which is 11.
To find the mean of the data set, we add up all the values and divide by the number of values.
Mean = (6 + 8 + 3 + 11 + 5 + 13 + x) / 7
To find x, we need to make the median and mean equal.
11 = (6 + 8 + 3 + 11 + 5 + 13 + x) / 7
Multiply both sides by 7
77 = 6 + 8 + 3 + 11 + 5 + 13 + x
Subtracting the sum of the other values from both sides
77 - 42 = x
x = 35
So, the value of x that makes the median and mean equal is 35.