Question
Download Solution PDFThe numbers 5, 7, 8, 10, 12, 13 and N are arranged in ascending order. If the mean of the numbers is equal to the median, the value of N is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The numbers arranged in ascending order = 5, 7, 8, 10, 12, 13 and N
Formula used:
Mean = sum of the terms/Number of the terms
When n is odd,
Median = (n + 1)/2
Calculation:
The numbers arranged in ascending order = 5, 7, 8, 10, 12, 13 and N
Mean = (5 + 7 + 8 + 10 + 12 + 13 + N)/7
⇒ (55 + N)/7
Now,
Total number of terms = 7, which is odd
So, Median = (n + 1)/2
⇒ (7 + 1)/2 = 4
The fourth term = 10
Now,
According to the given condition
⇒ (55 + N)/7 = 10
⇒ 55 + N = 70
⇒ N = (70 – 55)
⇒ N = 15
∴ The required value of N is 15
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