COMEDK · Maths · 29. Statistics
The mean and variance for the data \(6,7,10,12\), \(13,4,8,12\) respectively are
- A \(8, \sqrt{26.25}\)
- B \(9, \sqrt{9.25}\)
- C \(8,26.25\)
- D \(9,9.25\)
Answer & Solution
Correct Answer
(D) \(9,9.25\)
Step-by-step Solution
Detailed explanation
Data is \(6,7,10,12,13,4,8,12\) Here, \(n=8\) \(\therefore\) Mean \[ \begin{aligned} &=\frac{6+7+10+12+13+4+8+12}{8} \\ &=\frac{72}{8}=9 \end{aligned} \] Now, variance \(=\frac{1}{n} \Sigma x_{i}^{2}-(\bar{x})^{2}\)…
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 the area of region bounded by the lines \(y=2 x+1, x\)-axis, \(x=a\) and \(x=3\) is 10 sq units. Then the value of ' \(a\) ' isCOMEDK 2025 Medium
- A line makes the same angle \(\theta\) with each of the \(x\) and \(z\)-axes. If the angle \(\beta\), which it makes with the \(y\)-axis is such that \(\sin ^2 \beta=3 \sin ^2 \theta\), then \(\cos ^2 \theta\) equalsCOMEDK 2024 Medium
- Find the function ' \(f\) ' which satisfies the equation \(\dfrac{d f}{d x}=2 f\), given that \(f(0)=e^3\)COMEDK 2025 Easy
- A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear on the first toss, what is the probability that the coin is tossed thrice?COMEDK 2024 Medium
- \(\text { The angle between } \hat{\imath}-\hat{\jmath} ~\&~ \hat{\jmath}-\hat{k} \text { is }\)COMEDK 2024 Easy
- Two numbers are selected at random from integers 1 to 9 .
If their sum is even, what is the probability that both the numbers are odd?COMEDK 2025 Medium
More PYQs from COMEDK
- The conductivity of a semiconductor increases with increase in temperature because
A) number density of free current carriers increases
B) relaxation time increases
C) both number density of carriers and relaxation time increase
D) number density of current carriers increases, relaxation time decreases but effect of decrease in relaxation time is much less than increase in number densityCOMEDK 2024 Medium - Integrating factor of the differential equation \(\dfrac{d y}{d x}+y=\dfrac{x^3+y}{x}\) isCOMEDK 2025 Medium
- Match the Coordination compounds in Column I with the type of stereoisomerism given in Column II exhibited by them.
Column I Column II A. \([\text{Pt}(\text{NH}_3)_2\text{Cl}_2]\) P. fac-mer B. \(\text{Ni}[(\text{NH}_3)_2\text{Cl}_2]\) Q. cis-trans C. \([\text{Co}(\text{NH}_3)_3(\text{NO}_2)_3]\) R. only cis isomer shows optical isomerism D. \([\text{Pt}\,\text{Cl}_2(\text{en})_2]^{2+}\) S. does not exhibit isomerism. COMEDK 2026 Medium - In the given Redox equation, identify the stoichiometric coefficients \(\mathrm{w}, \mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\).
\(\mathrm{ClO}_3^{-1}+\mathrm{w} \mathrm{Cl}^{-1}+\mathrm{xH}^{+} \rightarrow \mathrm{y} \mathrm{H}_2 \mathrm{O}+\mathrm{zCl}_2\)COMEDK 2023 Medium - 1 kg of water at \(100^\circ\)C is converted to steam at the same temperature. Volume of 1 cc of water changes to \(1671 \times 10^3\) cc on boiling. The change in internal energy of the system is (Latent Heat of vaporisation of water is \(22.68 \times 10^5\ J\ kg^{-1}\); 1 atm \(= 1.0 \times 10^5\) Pa)COMEDK 2026 Medium
- During \(\alpha\)-decay, atomic mass of parent nuclei isCOMEDK 2022 Easy