COMEDK · Maths · 29. Statistics
The mean of the numbers \(a, b, 8,5,10\) is 6 and the variance is 6.80 , then which of the following gives possible values of \(a\) & \(b\)
- A \(a=5, b=2\)
- B \(a=3, b=4\)
- C \(a=0, b=7\)
- D \(a=1, b=6\)
Answer & Solution
Correct Answer
(B) \(a=3, b=4\)
Step-by-step Solution
Detailed explanation
The mean of the numbers \(a, b, 8, 5, 10\) is given by \(\dfrac{a + b + 8 + 5 + 10}{5} = 6\). This simplifies to \(a + b + 23 = 30\), so \(a + b = 7\). The variance is given by \(\sigma^2 = \dfrac{\sum x_i^2}{n} - (\bar{x})^2 = 6.8\). Substituting the values:…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The radius of the circle passing through the point \((6,2)\) and two of whose diameters are \(x+y=6\) and \(x+2 y=4\) isCOMEDK 2013 Easy
- If \(i=\sqrt{-1}\) and \(n\) is a positive integer, then \(i^n+i^{n+1}+i^{n+2}+i^{n+3}\) is equal toCOMEDK 2023 Easy
- The distance of the point \((3,4)\) from the line \(3 x+2 y+7=0\) measured along the line parallel to \(y-2 x+7=0\) is equal toCOMEDK 2023 Medium
- 3 and 5 are intercepts of a line \(L=0\), then the distance of \(L=0\) from \((3,7)\) isCOMEDK 2023 Easy
- A line L passes through the point of intersection of the lines \(3x + y - 10 = 0\) and \(x - y - 2 = 0\). If the perpendicular distance of the line L from the point \((5, 1)\) is exactly \(\dfrac{2}{\sqrt{5}}\) units, which of the following represents the correct equation for line L?COMEDK 2026 Medium
- \(\int \frac{\sin x + \cos x}{\sqrt{1 + 2 \sin x \cos x}} dx = \varphi(x) + C\) (assuming \(\sin x + \cos x > 0\)). Then \(\varphi(x) =\)COMEDK 2025 Easy
More PYQs from COMEDK
- \(\int \dfrac{1+x+\sqrt{x+x^2}}{\sqrt{x}+\sqrt{1+x}} d x \text { is equal to }\)COMEDK 2024 Medium
- The function \(y = ||x| - 1|\) is differentiable for all values of '\(x\)' exceptCOMEDK 2026 Medium
- In a deuterium-tritium fusion reaction given by \({ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H} \rightarrow{ }_2^4 \mathrm{He}+{ }_0^1 n\) the mass defect is given as 0.0188 u . The total energy released in the fusion reaction is:COMEDK 2025 Easy
- The mass of a metal, with equivalent mass \(31.75\), which would combine with \(8 \mathrm{~g}\) of oxygen isCOMEDK 2020 Medium
- The resistance of a wire at room temperature \(20^\circ\text{C}\) is found to be \(10\Omega\). If resistance of the wire increases by \(10\%\), then the temperature of the wire will be (The temperature coefficient of the material of the wire at \(0^\circ\text{C}\) is \(0.002/^\circ\text{C}\))COMEDK 2024 Medium
- A fish in water (refractive index \(n\) ) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish isCOMEDK 2023 Easy