TS EAMCET · Maths · Statistics
For a group of 100 observations, the arithmetic mean and standard deviation are 8 and \(\sqrt{10.5}\) respectively. The mean and standard deviation of 50 items selected from these 100 observations are 10 and 2 respectively. Then the standard deviation of the remaining 50 observation is
- A 2
- B 3
- C 3.5
- D 4
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
Let \(\sigma_1\) and \(\bar{x}_1\) are the standard deviation and mean of 50 observation and \(\sigma_2\) and \(\bar{x}_2\) are standard deviation one mean of another 50 observation respectively…
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
- \((a, b)\) is the point to which the origin has to be shifted by translation of axes so as to remove the first-degree terms from the equation \(2 x^2-3 x y+4 y^2+5 y-6=0\). If the angle by which the axes are to be rotated in positive direction about the origin to remove the \(x y\)-term from the equation \(a x^2+23 a b x y+b y^2=0\) is \(\theta\), then \(\tan 2 \theta=\)TS EAMCET 2024 Medium
- The foci of the ellipse \(25 x^2+4 y^2+100 x-4 y+100=0\) areTS EAMCET 2017 Medium
- If \(\mathrm{z}=\mathrm{x}+\mathrm{iy}\) and the point \(\mathrm{P}\) in the Argand plane represents \(z\), then the locus of \(z\) satisfying the equation \(|z-2|+|z-2 i|\) \(=4\) isTS EAMCET 2023 Medium
- If , thenTS EAMCET 2020 Medium
- The locus of the mid-points of the chords of the circle \(x^2+y^2=16\) which are tangents to the hyperbola \(9 x^2-16 y^2=144\) isTS EAMCET 2018 Medium
- If the roots of the equation \(32 x^3-48 x^2+22 x-3=0\) are in arithmetic progression, then the square of the common difference of the roots isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- The reagent used in the Wolff-Kishner reduction isTS EAMCET 2011 Easy
- The oxidation state of \(\mathrm{Xe}\) in \(\mathrm{XeO}_3\) and the bond angle in it respectively are:TS EAMCET 2003 Easy
- If the lines \(L_1 \equiv x-2 y+3=0, L_2 \equiv 2 x+y+1=0\) and \(L_3 \equiv 3 x+y+c=0\) are concurrent and \(\theta\) is the acute angle between the lines \(L_1=0\) and \(L_3=0\), then \(\tan \theta=\)TS EAMCET 2022 Medium
- If \(x \sqrt{1+y}+y \sqrt{1+x}=0\), then \(\frac{d y}{d x}\) is equal toTS EAMCET 2005 Medium
- The shortest distance between the lines \(\mathbf{r}=(3 t-4) \hat{\mathbf{i}}-2 \hat{\mathbf{j}}-(1+2 t) \hat{\mathbf{k}}\) and \(\mathbf{r}=(6+s) \hat{\mathbf{i}}+(2-2 s) \hat{\mathbf{j}}+2(\mathfrak{l}+s) \hat{\mathbf{k}}\) isTS EAMCET 2018 Easy
- \(A\) and \(B\) are ideal gases. The molecular weights of \(A\) and \(B\) are in the ratio of \(1: 4\). The pressure of a gas mixture containing equal weights of \(A\) and \(B\) is \(P\) atm. What is the partial pressure (in atm) of \(B\) in the mixture?TS EAMCET 2005 Easy