AP EAMCET · Maths · Statistics
The mean of 5 observations is 4.4 and their variance is 8.24. If three of those observations are 1,2 and 6 , then the other two observations are
- A 9,4
- B 9,5
- C 9,2
- D 9,13
Answer & Solution
Correct Answer
(A) 9,4
Step-by-step Solution
Detailed explanation
Let other two observation be \(x\) and \(y\) \(4.4=\frac{1+2+6+x+y}{5} \Rightarrow x+y=13...(i)\) and \(8.24=\frac{1}{5}\left(1^2+2^2+6^2+x^2+y^2\right)-(4.4)^2\) \(\Rightarrow x^2+y^2=97\) Now, \(x^2+y^2=\frac{(x+y)^2+(x-y)^2}{2}\)…
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
- If a variable straight line passing through the point of intersection of the lines \(x-2 y+3=0\) and \(2 x-y-1=0\) intersects the \(\mathrm{X}, \mathrm{Y}\)-axes at A and B respectively, then the equation of the locus of a point which divides the segment AB in the ratio \(-2: 3\) isAP EAMCET 2024 Medium
- The locus of the third vertex of a right-angled triangle, the ends of whose hypotenuse are \((1,2)\) and \((4,5)\), isAP EAMCET 2025 Medium
- The angle between the tangents drawn from a point \((-3,2)\) to the ellipse \(4 x^2+9 y^2-36=0\) isAP EAMCET 2025 Medium
- If the sum of the coefficients of even powers of \(x\) in the expansion of \(\left(1-x+x^2\right)^{2 n}\) is 3281 , then \(\mathrm{n}=\)AP EAMCET 2023 Medium
- In a \(\triangle A B C\), if \(\frac{2 r_2 r_3}{r_2-r_1}=r_3-r_1\), then \(\frac{r_1\left(r_2+r_3\right)}{\sqrt{r_1 r_2+r_2 r_3+r_3 r_1}}=\)AP EAMCET 2019 Easy
- Consider the following data:
The coefficient of variation of the above distribution of wages, if its standard deviation is 14.72 , isAP EAMCET 2017 Easy
More PYQs from AP EAMCET
- In a transistor if \(\frac{I_C}{I_E}=\alpha\) and \(\frac{I_C}{I_B}=\beta\). If \(\alpha\) varies between \(\frac{20}{21}\) and \(\frac{100}{101}\), then the value of \(\beta\) lies betweenAP EAMCET 2012 Easy
- If \(\int \frac{1}{x\left[(\log x)^2+4 \log x-1\right]} d x=A \log \left[\frac{\log x+B}{\log x+C}\right]+K\) where \(\mathrm{K}\) is the constant of integration, thenAP EAMCET 2023 Hard
- In a triangle, if \(b=20, c=21\) and \(\sin A=\frac{3}{5}\), then \(a\) is equal to :AP EAMCET 2003 Easy
- An electric kettle takes 4 A current at 220 V. If the entire electric energy is converted into heat energy, then the time (in minutes) taken to increase the temperature of 1 kg of water from \(34^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\) isAP EAMCET 2025 Medium
- The rate constant of a reaction at \(500 \mathrm{~K}\) and \(700 \mathrm{~K}\) are \(0.02 \mathrm{~s}^{-1}\) and \(0.2 \mathrm{~s}^{-1}\) respectively. The activation energy of the reaction
(in \(\left.\mathrm{kJ} \mathrm{mol}^{-1}\right)\) is \(\left(R=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\)AP EAMCET 2024 Medium - The least value of the natural number \(n\) satisfying \(C(n, 5)+C(n, 6)>C(n+1,5)\) isAP EAMCET 2002 Easy