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CBSE Class 12-science Answered

What is the ans to this question??
question image
Asked by tv2000in | 28 May, 2019, 12:01: AM
answered-by-expert Expert Answer
Let the seven integers be x1 ,x2 ,x3 ,x4 ,  ..... , x7 , all are positive.
Median = 9
begin mathsize 16px style fraction numerator straight x subscript 1 space plus space straight x subscript 2 space plus straight x subscript 3 space plus straight x subscript 4 space plus.... space straight x subscript 7 space space over denominator 7 end fraction space equals space 9
rightwards double arrow straight x subscript 1 space plus space straight x subscript 2 space plus straight x subscript 3 space plus straight x subscript 4 space plus.... space straight x subscript 7 space space equals space 63 space end style
Mode = 7
 
→ The most frequent occured number is 7.
Hence must atleast occur 2 times.
 Sum of the remaining 5 numbers = 63 - 7 - 7  = 49
 
→ Smallest possible integers are 1, 2, 3, 4 and 39.
 
Therefore the least possible range for the seven numbers is 1 to 39.
Answered by Yasmeen Khan | 28 May, 2019, 09:30: AM
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