Answer:
x = 17 , mode = 15
Explanation:
the mean of a data set is calculated as
mean =
given the data set
11 , 15 , 17 , x + 1 , 19 , x - 2 , 3
sum = 11 + 15 + 17 + x + 1 + 19 + x - 2 + 3 = 2x + 64
count is the number of values in the data set = 7 , then given mean = 14
= 14 ( multiply both sides by 7 )
2x + 64 = 98 ( subtract 64 from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
the data set is then
11 , 15 , 17 , 18 , 19 , 15 , 3
the mode is the value that occurs most often
15 occurs most often , twice so mode = 15