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#12887

statistics

data analysis

average

hard

150 sec

A data set consists of 15 positive integers less than 40. The sum of 14 of these integers is 420. The mean of these 14 integers is 30. If the mean of the data set consisting of all 15 integers is an integer less than 30, what is the value of the 15th integer?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.