BITM Business Statistics

Find the quartile deviation if first and third quartiles are 18 and 30 respectively.

Calculate the combined mean from the following information.

In a moderately asymmetrical distribution, the mode and mean are 32 and 35 respectively. Calculate the median.

Calculate the Pearson's Coefficient of skewness when mean, mode and standard deviation are 25, 20 and 10 respectively.

If first quartile and third quartile of a distribution are 28 and 52 and their \(90^{th}\) and \(10^{th}\) percentiles are 61 and 17 respectively then, find the value of kurtosis.

The following table represents the weekly expenditure of 100 families.

If the mean value is 48 find the missing frequencies.

Calculate coefficient of quartile deviation from the following distribution of expenditure of one thousand households of Pokhara city.

The mark distribution of 104 students are given below:

Find the lowest marks of the top 10% of the students.

Calculate the percentile coefficient of kurtosis from the income distribution of sixty-two randomly selected employees of Nepal Bank Limited. Also interpret the result.

The running capacity of two horses is given below, state which is more consistent and why?

In a moderately asymmetric distribution, the values of mean and median are 16 and 20 respectively. Compute the value of mode.

If the values of lower and upper quartiles are 40 and 70 respectively, then calculate the quartile deviation.

Calculate combined mean from the following information:

If quartile deviation of a distribution is 2 and their 90^th and 10^th percentiles are 24 and 16 respectively then find the value of kurtosis.

Calculate the Pearson’s coefficient of skewness when mean, mode and standard deviation are 65 , 62 and 5 respectively.

Find missing frequencies when mean value is 35 and total number of workers is 60.

Find coefficient of quartile deviation from the following income table.

The following information was obtained from two brand of cars A and B:

Which of the two brands shows greater consistency in its performance regarding to their life?

The following table shows the marks distribution of students in a campus.

Compute mode value of the marks distribution..

From the following distribution of marks of 500 students of a campus, find the lowest marks of the top 10% students.

From the following distribution of marks of 500 students of a campus, calculate the coefficient of skewness. Also, interpret the results.

From the following distribution, find the percentile coefficient of kurtosis. Also comment the result.

The coefficient of correlation between two variable X and Y is 0.48. The covariance is 36. The variance of X is 16. Find the standard deviation of Y.

The coefficient of correlation between two variates X and Y is 0.8. Their covariance is 20. The variance of X is 16. Find the standard deviation of Y.

The following table gives the marks in mathematics and statistics of ten students.

a. Calculate two regression coefficients.

b. Calculate two regression lines.

c. Find Karl Pearson's coefficient of correlation and test its significance.

d. Estimate the most likely marks in statistics when the marks in mathematics is 52.

Following table shows the income and expenditure of people of certain locality of small town city of Nepal.

Find out

(a) Equation of two regression lines.

(b) Correlation coefficient.

(c) Probable error and hence comment the result of correlation coefficient.

(d) Estimate the expenditure of a person whose income is Rs. 4000.

Given that \(P(A) = \frac{1}{3}\), \(P(B) = \frac{3}{5}\) and \(P(A \cap B) = \frac{1}{15}\) then find out the value of \(P(A \cup B)\).

A committee of 5 is to be formed out of a group of 8 boys and 7 girls. Find the probability that in the committee.

a. There will be all boys.

b. There will be all girls.

Given that \(P(A \cap B)\)=0.2, P(A)= 0.5 and P(B)= 0.4,then findout the value of \(P(A \cup B)\).

Given \(\lambda = 1.2\) for a Poisson distribution, find \(p(x = 4)\).

Five dice were thrown for 96 times. The observed number of times for getting 4, 5 or 6 was recorded by the table below. Fit the binomial distribution for the given data.

Students of a class are given a test. Their marks were normally distributed with mean 60 and standard deviation 5. What percentage of students scored:

a. More than 65 marks.

b. Between 50 and 65 marks.

The mean of Poisson distribution (\(\lambda\)) = 2, find P(x=2).

Daily expenditure on lunch of the staff of a bank of 400 employees was found to be normally distributed with mean of Rs 120 and standard deviation of Rs 20. Find the probability of employees having expenditure (a) between Rs 105 to Rs 140 (b) between Rs 125 to Rs 150.

If a random sample of size 36 is drawn from a finite population 400 units without replacement, then find the standard error of the sample mean if the population s.d. is 12.

List out non-random sampling methods.

Calculate the standard error of mean when population size (N) = 500, sample size (n) =50 and standard deviation (\(\sigma\))=5.

List out the types of random sampling techniques.

A sample of 500 bulbs of a company shows that an average life of 1400 hours with standard deviation of 30 hours. Find 95% confidence limits for population mean.

Systolic blood pressure of a sample of 400 males was taken. A sample mean blood pressure was found to be 128 mm and standard deviation 13 mm. Find 95% confidence limits of blood pressure within which the population mean would lie?

The following table shows average marks of students in two classes.

Test whether there is any significant difference in average marks of students of two classes at 5% level of significance.

A random sample of 100 students is found to have a mean weight of 65 kg and standard deviation of 20 kg. Test the hypothesis that at 5% level of significance the mean weight of the population is 60 kg.