Think of 5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.
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Given : 5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.
To Find : numbers
Solution:
5 integers in order
A , B , C , D , E
Median is C = 5
Mode is 2 Hence A and B = 2
Range is 10
Hence E - A = 10
=> E - 2 = 10
=> E = 12
2 , 2 , 5 , D , 12
Mean = 6 Hence sum = 5 x 6 = 30
=> 2 + 2 + 5 + D + 12 = 30
=> 21 + D = 30
=>. D = 9
Hence 5 numbers are
2 , 2 , 5 , 9 , 12
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