BBA Business Statistics

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

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 90th and 10th 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 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.

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

If the values of upper quartile and lower quartile are 63 and 59 respectively, then calculate the coefficient of quartile deviation.

In a moderately asymmetric distribution, the values of mean and mode are 20 and 23 respectively. Compute the value of median.

Calculate coefficient of variation, when values of mean and standard deviation are 32 and 17 respectively.

The following table shows the marks distribution of students in a subject:

Find the lowest marks of the top 20% of the students.

The following table represents the marks of 100 students.

Find the missing frequencies when modal marks is 48.

From the following income distribution of 500 workers in a locality, find the median value of the income distribution.

From the following income distribution, calculate the appropriate measures of dispersion.

The following information was obtained from two investment companies A and B:

Calculate combined standard deviation.

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

From the following marks distribution of students of a campus, calculate the coefficient of kurtosis. Also, interpret the result.

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

Find out:
a. Coefficient of variations of income and expenditure and interpret the results.
b. Correlation coefficient
c. Two regression lines.
d. Estimate the expenditure of a person whose income is Rs 70 thousand.

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 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.

The covariance of X and Y is 30 and the variances of X and Y are 25 and 64 respectively. Find Karl Pearson's coefficient of correlation between X and Y.

Calculate the combined mean from the following information.

The equations of two regression lines are 4X-5Y+33=0 and 20X-9Y-107=0, find the mean values of X and Y.

Given that value of correlation coefficient is 0.84, interpret the result on the basis of coefficient of determination.

Given that P(A) = 1/3, P(B) = 3/5 and P(A∩B) = 1/15 then find out the value of P(A ∪ 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∩B) = 0.7, P(A)= 0.4 and P(B) = 0.5,then find out the value of P(A∪B).

Find P(X=4), the mean of Poisson distribution (λ) is 1.5.

Daily income of the part-time staff of a bank of 50 employees was found to be normally distributed with mean of Rs 1200 and standard deviation of Rs 120. Find the probability of employees having income (a) between Rs 1050 to Rs 1400 (b) between Rs 1250 to Rs 1500.

Given λ = 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.

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) = 1000, sample size (n) =100 and standard deviation (σ) = 10.

List out any four 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.

A random sample of 50 items gave mean weight of 7.5 kg and a standard deviation of 1.5 kg. Find 95% confidence limits of weight within which the population mean would lie.

The following table shows the average life of electric bulbs manufactured by X and Y companies:

Test whether there is any significant difference in mean life of the electric bulbs produced by two companies at 5% level significance.