AP EAMCET · Maths · Statistics
If \(m\) and M denote the mean deviations about mean and about median respectively of the data \(20,5.15,2,7,3,11\) then the mean deviation about the mean of \(m\) and \(M\) is
- A \(\frac{1}{7}\)
- B \(\frac{38}{7}\)
- C \(\frac{36}{7}\)
- D \(\frac{37}{7}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{7}\)
Step-by-step Solution
Detailed explanation
Since, mean of the given data \(\bar{x}=\frac{20+5+15+2+7+3+11}{7}=9\) Now, mean deviation about mean \(\begin{aligned} = & \frac{|9-20|+|9-5|+|9-15|+|9-2|+|9-7|+|9-3|+|9-11|}{7}=\frac{38}{7}=m \end{aligned}\) Since, Median \(=\left(\frac{7+1}{2}\right)^{\text {th }}\) term…
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 \(x+\frac{1}{x}=2 \sin \alpha\) and \(y+\frac{1}{y}=2 \cos \beta\), then \(x^3 y^3+\frac{1}{x^3 y^3}=\)AP EAMCET 2019 Medium
- If the lines given by \(\left(x^2+y^2\right) \sin ^2 \alpha=(x \cos \alpha-y \sin \alpha)^2\) are perpendicular to each other, then \(\sin ^2 \alpha+\tan ^2 \alpha=\)AP EAMCET 2023 Hard
- The sum of the order and degree of the differential equation \(\frac{d^4 y}{d x^4}=\left\{c+\left(\frac{d y}{d x}\right)^2\right\}^{\frac{3}{2}}\) isAP EAMCET 2024 Easy
- Assertion (A) : The length of the latus rectum of an ellipse is 4. The focus and its corresponding directrix are respectively \((1,-2)\) and \(3 x+4 y-15=0\). Then its eccentricity is \(\frac{1}{2}\).
Reason (R) : Length of the perpendicular drawn from focus of an ellipse to its corresponding directrix is \(\frac{a\left(1-e^2\right)}{e}\).
Then which one of the following is correct ?AP EAMCET 2025 Hard - If \(f(x)=\left\{\begin{array}{ll}3 a x-2 b, & x\gt1 \\ a x+b+1, & x \lt 1\end{array}\right.\) and \(\lim _{x \rightarrow 1} f(x)\) exists, then the relation between \(a\) and \(b\) isAP EAMCET 2024 Easy
- Match the following
AP EAMCET 2017 Easy
More PYQs from AP EAMCET
- \[
\begin{aligned}
& \text { If the } \\
& a x^2+2 h x y+b y^2+2 g x+2 f y+c=0
\end{aligned} \text { equation }
\]
represents a pair of straight lines, then the square of the distance of their point of intersection from the origin isAP EAMCET 2013 Medium - The current and emf through an inductance differ by phase byAP EAMCET 2021 Easy
- Hybridizations of \(\mathrm{C}_2, \mathrm{C}_3\) of \(\mathrm{H}_3 \mathrm{C}-\mathrm{CH}=\mathrm{C}=\mathrm{CH}-\mathrm{CH}_3\) respectively areAP EAMCET 2020 Medium
- The terminal velocity \(v\) of a spherical ball of lead of radius \(R\) falling through a viscous liquid varies with \(R\) such thatAP EAMCET 2020 Easy
- In the following reaction, \(A\) and \(B\) respectively are
\(A \stackrel{\mathrm{HBr}}{\longrightarrow} \mathrm{C}_2 \mathrm{H}_5 \mathrm{Br} \stackrel{B}{\longrightarrow} A\)AP EAMCET 2002 Easy - \(\text { If } y=\operatorname{Tan}^{-1}\left(\frac{x}{1+2 x^2}\right)+\operatorname{Tan}^{-1}\left(\frac{x}{1+6 x^2}\right) \text {, then } \frac{d y}{d x}=\)AP EAMCET 2025 Medium