JEE Mains · Maths · STD 11 - 13. statistics
The mean and the median of the following ten numbers in increasing order \(10, 22, 26, 29, 34, x, 42, 67, 70, y\) are \(42\) and \(35\) respectively, then \(\frac{y}{x}\) is equal to
- A \(\frac{7}{3}\)
- B \(\frac{9}{4}\)
- C \(\frac{7}{2}\)
- D \(\frac{8}{3}\)
Answer & Solution
Correct Answer
(A) \(\frac{7}{3}\)
Step-by-step Solution
Detailed explanation
means \(=42\) \( \Rightarrow \frac{{10 + 22 + 26 + 29 + 34 + x + 42 + 67 + 70 + y}}{{10}} = 45\) \( \Rightarrow x + y = 120\,\,\,\,......\left( i \right)\) and median \(=35\) \( \Rightarrow \frac{{34 + x}}{2} = 35 \Rightarrow x = 36\) from \((i)\) \(y = 84\)…
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