List of top Mathematics Questions on Standard deviation

A simple random sample consists of five observations: 4, 5, 9, 10 & 12. What is the point estimate of population standard deviation?

A cab hire firm has two cabs, which it hires out day by day. The number of demands for cabs on each day follows a Poisson distribution with mean of 1.5. The probability of days on which neither cab is used is (Use \( e^{-1.5} = 0.2231 \)):

The following data is taken from a simple random sample :
3, 7, 5, 9, 15, 11, 8, 4, 6, 2
The point estimate of the population standard deviation is :

Which of the following is correct for standard deviation, where \(\bar{X}\) = mean 

Consider the following hypothesis test
H₀: μ>=16
Η₁: μ < 16
A sample of 36 provided a sample mean of 15.4. The population standard deviation is 3. The value of the test statistic 't' is.

A random sample of size 9 has 21 as sample mean. The sum of the squares of the deviations taken from mean is 72. The sample is drawn from the population having 23 as mean. The value of test statistic is,

The following data are from a simple random sample: 1, 4, 7
The point estimate of the population standard deviation is: