CUET · MATHS · PYQ PAPER 2025
The point estimate of the population standard deviation as per the below mentioned data from a simple random sample 6, 10, 15, 12, 9, 8 will be :-
- A 3.612
- B 3.126
- C 3.162
- D 3.216
Answer & Solution
Correct Answer
(C) 3.162
Step-by-step Solution
Detailed explanation
\(\bar{x} = \frac{6+10+15+12+9+8}{6} = 10\) \(s^2 = \frac{(6-10)^2 + (10-10)^2 + (15-10)^2 + (12-10)^2 + (9-10)^2 + (8-10)^2}{6-1}\) \(s^2 = \frac{16 + 0 + 25 + 4 + 1 + 4}{5} = \frac{50}{5} = 10\) \(s = \sqrt{10} \approx 3.162\)
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
- Objective function \(z=200 x+500 y\), subject to the constraints
\(x+2 y \geq 10, \quad 3 x+4 y \leq 24, \quad x \geq 0, \quad y \geq 0\),
the minimum value of \(z\) is :CUET 2023 Medium - If X is a normal variate with mean 16 and standard deviation 4, then the value of the standard normal variate Z corresponding to X = 17 is :CUET 2025 Easy
- If the integral \(I=\int\left\{\log _e\left(\log _e x\right)^2+\frac{\alpha}{\log _e x}\right\} d x=x \log _e\left(\log _e x\right)^2+C\), where \(C\) is constant of integration. Then the value of \(\alpha\) is :CUET 2025 Medium
- If \(A=\left[\begin{array}{lll}-1 & 2 & 3\end{array}\right], B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right], C=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]\) and \(D=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]\) then AB + CD is equal to :CUET 2023 Medium
- A copper ball of density \(8 ~ g / c c\) and \(1 c m\) diameter, immersed in oil of density 0.8 \(g / cc\), remains suspended in an electric field of \(600 \pi V / m\). The charge on the ball is :CUET 2024 Easy
- If the matrix \(\left[\begin{array}{ccc}0 & 7 & -12 \\ -7 & 0 & -5 \\ 2 a & 5 & 3 b\end{array}\right]\) is skew-symmetric, then the value of \((4 a+3 b)\) is :CUET 2025 Hard
More PYQs from CUET
- Two pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty the tank in 12 hours. If all three pipes are opened together, find the time taken to fill the tankCUET 2025 Hard
- Which one of the following solutions will exhibit the smallest freezing point depression?CUET 2023 Easy
- At what rate will the present value of a perpetuity of Rs.1000 payable at the end of each quarter be Rs.50000?CUET 2025 Easy
- Match List I with List II.
Choose the correct answer from the options given below:LIST I LIST II A. Agrobacterium tumifaciens I. Join foreign DNA to plasmid B. Thermus aquaticus II. First recombinant DNA C. Plasmid of Salmonella III. Thermostable DNA polymerase D. Ligase IV. Ti Plasmid CUET 2023 Easy - An armature coil consists of 20 turns of wire, each of area \( A = 0.09 \text{ m}^2 \) and total resistance \( 15 \ \Omega \).
It rotates in a magnetic field of 0.5 T perpendicular to the axis of rotation at a constant frequency \( \frac{150}{\pi} \text{ Hz} \). The value of maximum emf produced in the coil is:CUET 2023 Medium - In which of the following pairs, both the ions are coloured in an aqueous solution?CUET 2023 Easy