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#12886

statistics

data analysis

average

hard

150 sec

A data set consists of 8 positive integers less than 70. The list shown gives 7 of the integers from the data set: $45, 46, 48, 50, 52, 54, 55$ . The mean of these 7 integers is 50. If the mean of the data set consisting of all 8 integers is an integer greater than 50, and the 8th integer is greater than 60, what is the value of the 8th 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.