Question
Download Solution PDFThe mean of p, q, r, s and t is 280. If the mean of p, r and t is 240, what is the mean of q and s?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFShortcut Trick
Mean = {(280 × 5) - (240 × 3)} / 2 = 340
∴ The mean of q and s = 340.
Alternate Method
Formula Used:
Mean = The sum of numbers/The count of the numbers
Calculation:
According to the question
The mean of p, q, r, s, and t is 280
280 = (p + q + r + s + t)/5
⇒ p + q + r + s + t = 1400 ----(1)
Again, according to the question
The means of p, r, and t is 240
240 = (p + r + t)/3
⇒ 720 = p + r + t
Put this value in the equation (1)
⇒ 720 + q + s = 1400
⇒ q + s = 1400 - 720 = 680
∴ The mean of q and s = 680/2 = 340.
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