Question
Download Solution PDFThe mean of 2, 6, 9, x and 7 is 5. The difference between the largest and smallest observations is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The observations are 2, 6, 9, x, and 7.
Mean of these observations = 5
Formula Used:
Mean = Sum of observations / Number of observations
Calculation:
Let the sum of the observations be S.
Mean = S / 5
Since the mean is given as 5:
⇒ 5 = S / 5
⇒ S = 5 × 5
⇒ S = 25
Sum of the given observations = 2 + 6 + 9 + x + 7
⇒ 2 + 6 + 9 + x + 7 = 25
⇒ 24 + x = 25
⇒ x = 25 - 24
⇒ x = 1
The observations are 2, 6, 9, 1, and 7.
Largest observation = 9
Smallest observation = 1
Difference = 9 - 1
⇒ Difference = 8
The difference between the largest and smallest observations is 8.
Last updated on Apr 21, 2025
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