Score :- a , a+1 , a+2 , a+3 , a+4

Frequency :- 8 , 12 , x , 16 , 7

Given Score and their respective frequency !! If none of the scores shown is the median, which of the following could be the value of x ?

Set S consists of the integers {1, 2, 3, 4 . . . (2n + 1)}, where n is a positive integer. If X is the average of the odd integers in set S and Y is the average of the even integers in set S, what is the value of (X − Y)?

500 records have a distribution that is symmetric about the mean 10. If 68 percent of the distribution lies within one standard deviation of the mean, and the deviation is 2, then at least how many of the records are less than 12?

The average age of applicants for a new job is 31, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?

Which of the following data sets has the third largest standard deviation?

If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:

Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

If x is the average (arithmetic mean) of 5 consecutive even integers, which of the following must be true?

I. x is an even integer.

II. x is a nonzero integer.

III. x is a multiple of 5.

Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.

I. -7

II. -1

III. 2

Which of the following triples of numbers have the same standard deviation as the numbers r, s, and t?

I. r - 2, s - 2, t - 2

II. 0, r - s, t - s

III. r - 4, s + 5, t - 1