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#12885

statistics

data analysis

average

hard

150 sec

A data set consists of 12 positive integers less than 50. The list shown gives 11 of the integers from the data set: $30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40$ . The mean of these 11 integers is 35. If the mean of the data set consisting of all 12 integers is an integer less than 35, and the 12th integer is greater than 20, what is the value of the 12th 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.