AP EAMCET · Maths · Statistics
The mean of four observations is 3 . If the sum of the squares of these observations is 48 , then their standard deviation is
- A \(\sqrt{7}\)
- B \(\sqrt{2}\)
- C \(\sqrt{3}\)
- D \(\sqrt{5}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let four observations are be \(x_1, x_2, x_3\) and \(x_4\) Given, mean and \[ \begin{aligned} (\bar{x}) & =3 \\ \Sigma x_i^2 & =48 \end{aligned} \]…
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 \((a, b)\) is the common point for the circles \(x^2+y^2-4 x+4 y-1=0\) and \(x^2+y^2+2 x-4 y+1=0\), then \(a^2+b^2=\)AP EAMCET 2025 Medium
- If a circle \(S\) passes through the origin and makes an intercept of length 4 units on the line \(x=2\), then the equation of the curve on which the centre of \(S\) lies isAP EAMCET 2025 Medium
- The differential equation corresponding to the family of curves \(y=e^x(A \cos x+B \sin x)\) isAP EAMCET 2019 Easy
- The points on the curve \(y^2=x+\sin x\) at which the normal is parallel to the Y-axis lie onAP EAMCET 2023 Hard
- If \(0 < a < 1\), then \(\int \frac{d x}{1-2 a \cos x+a^2}=\)AP EAMCET 2017 Medium
- The equation of the common tangent drawn to the curves \(y^2=8 x\) and \(x y=-1\) isAP EAMCET 2016 Medium
More PYQs from AP EAMCET
- Which of the following data has minimum variance?AP EAMCET 2021 Easy
- What is the constant term in the binomial expansion of \((1+3 x)^n\left(1+\frac{1}{3 x}\right)^n\) ?AP EAMCET 2020 Medium
- If \(A+B+C=270^{\circ}\), then \(\cos 2 A+\cos 2 B+\cos 2 C\) is equal to :AP EAMCET 2003 Easy
- If the vectors \(2 \overline{\mathrm{i}}-\overline{\mathrm{j}}+3 \overline{\mathrm{k}}, \overline{\mathrm{i}}+4 \overline{\mathrm{j}}+\overline{\mathrm{k}}, 4 \overline{\mathrm{i}}+\mathrm{p} \overline{\mathrm{j}}+\overline{\mathrm{k}}\) are coplanar, then \(\mathrm{p}=\)AP EAMCET 2025 Medium
- \(\tan ^{-1} 2+\tan ^{-1} 3=\)AP EAMCET 2024 Easy
- A refrigerator of coefficient of performance 5 that extracts heat from the cooling compartment at the rate of 250 J per cycle is placed in a room. The heat released per cycle to the room by the refrigerator isAP EAMCET 2025 Medium