List of top B.Ed. Mathematics Questions on Statistics asked in CUET (PG)

Which of the following is/are the sampling method/s? A. Cluster sampling
B. Judgment sampling
C. Computer sampling
D. Systematic sampling
E. Favorite sampling

Which of the following is/are true? A. Correlation coefficient always lies in \([-1,1]\).
B. Mean, Mode and Median are always equal when data follows normal distribution.
C. Mean, Mode and Median are always equal when data follows binomial distribution with odd number of sampling points.
D. Researchers generally reject the null hypothesis when \(p\)-value is less than \(0.05\).

Given below are two statements.
Assertion (A):
Security has services like confidentiality, integrity, authentication, access control, et
C.
Reason (R):
Encryption, digital signature, MD5 and secure hash algorithm may be used for authentication and confidentiality, et
C.

Given below are two statements.
Assertion (A):
A random sample of size \(25\) is taken, resulting in a sample mean of \(17.45\) and a sample standard deviation of \(3.6\). Assuming \(H_0:
\mu=18,\ H_1:
\mu\neq18\), the standard error calculated is \(0.72\).
Reason (R):
The standard error for hypothesis testing is calculated using \(\frac{s}{\sqrt{n}}\).

Arrange the given data sets on the basis of their mode in increasing order.

Arrange the probabilities for the following normal distribution problem from lowest to highest:
A. \(\mu=604,\ \sigma=50,\ P(X<635)\);
B. \(\mu=48,\ \sigma=10,\ P(X<20)\);
C. \(\mu=37,\ \sigma=5,\ P(X>35)\);
D. \(\mu=156,\ \sigma=10,\ P(X>170)\).

Construct the confidence interval specified to estimate \(\mu\). Arrange the intervals from lowest to highest based on length of the interval:
A. \(95\%\) confidence for \(\bar{x}=20,\ \sigma=3,\ n=49\);
B. \(95\%\) confidence for \(\bar{x}=20,\ \sigma=3,\ n=81\);
C. \(95\%\) confidence for \(\bar{x}=115,\ \sigma=25,\ n=49\);
D. \(95\%\) confidence for \(\bar{x}=115,\ \sigma=25,\ n=81\).

When a coin having head and tail is thrown, which of the following is probability of not getting head?

The standard deviation for the given data is:

For two distributions, the standard deviations are \(21\) and \(14\) respectively and their coefficients of variations are \(60\) and \(70\) respectively. Which of the following is correct for their arithmetic means?

Match List-I with List-II on the basis of relationship. List-I:
A. Complement operation,
B. Power set operation,
C. Cartesian product,
D. Union and intersection. List-II:
I. Collection of subsets, II. Tuples ordered, III. Universal set, IV. Difference symmetri
C.

When a dice of six faces \(\{1,2,3,4,5,6\}\) is thrown, which of the following is the probability of getting an even number?