Question 1

Explain with example different types of measurement scales used for discrete and continuous variables.

Accepted Answer

In statistics, measurement scales classify data based on the nature of information they convey, determining the types of statistical analyses that can be applied. Variables themselves can be discrete, taking on specific, distinct values often obtained by counting, or continuous, taking any value within a given range, typically obtained by measurement. Understanding these scales is crucial for accurate data interpretation as detailed in BEY-014 Statistical Methods.

**Nominal Scale (Primarily for

Question 2

The ages of the 112 people who live on a tropical island are grouped as follows: Age Number 0-9 20 10-19 21 20-29 23 30-39 16 40-49 11 50-59 10 60-69 7 70-79 3 80-89 1 Estimate the mean, median and mode of the given data.

Accepted Answer

Estimating the measures of central tendency (mean, median, and mode) for grouped frequency data involves specific formulas and step-by-step calculations. These measures provide insight into the typical age of the 112 people living on the tropical island.

### Estimating the Mean

To estimate the mean for grouped data, we assume that the values within each class interval are concentrated at its midpoint. This method provides an approximation of the arithmetic average. The formula for the mean (x̄

Question 3

Explain the following five types of graphs based on their skewness and kurtosis giving one example for each type: {Positively Skewed, Negatively Skewed, Leptokurtic, Mesokurtic, Platykurtic}

Accepted Answer

The shape of a distribution is primarily described by two characteristics: skewness and kurtosis. Skewness measures the asymmetry of the distribution, indicating whether data points are concentrated more on one side. Kurtosis, on the other hand, describes the "tailedness" or "peakedness" of the distribution, comparing it to the normal distribution. These measures provide crucial insights beyond just central tendency and dispersion.

**Positively Skewed Distribution**
A positively skewed distribu

Question 4

The marks obtained by 30 students in a Statistics test are given below: Raw Data (Marks out of 100): 45, 32, 55, 48, 62, 75, 38, 41, 56, 65, 79, 85, 50, 49, 71, 52, 68, 59, 43, 60, 66, 72, 58, 47, 39, 53, 64, 76, 80, 34 Construct a frequency table, histogram, frequency polygon and ogive.

Accepted Answer

Organizing raw data into a meaningful summary is a fundamental step in statistical analysis, as taught in BEY-014 Statistical Methods. The given raw data represents marks obtained by 30 students. We will construct a frequency distribution and subsequently derive its graphical representations: a histogram, frequency polygon, and ogive.

First, we determine the range and appropriate class intervals for the frequency distribution. The minimum mark is 32 and the maximum is 85, making the range 85 -

Question 5

Calculate the coefficient of rank correlation of the scores obtained by 9 students in an essay writing competition by two judges, X and Y. Judge X 15 12 13 15 17 19 20 7 18 Judge Y 17 10 15 18 12 20 20 10 15

Accepted Answer

Spearman's Rank Correlation Coefficient is a non-parametric measure used to assess the strength and direction of the monotonic relationship between two ranked variables. As per the BEY-014 course material, it is particularly useful when data are ordinal, or when the distribution of the data is not normal, making it suitable for evaluating agreement between judges' scores.

To calculate the coefficient of rank correlation (ρ), we first need to assign ranks to the scores given by Judge X and Judge

Question 6

Find the two lines of regression from the following data: Age of Husband 25 35 42 27 30 32 45 Age of Wife 22 30 32 28 25 30 35 Hence estimate

Accepted Answer

Regression analysis, a crucial statistical technique covered in BEY-014 Statistical Methods, helps model the relationship between two variables, enabling us to predict the value of one variable based on the other. This involves deriving two regression lines: one for predicting the dependent variable (Y) from the independent variable (X), and another for predicting X from Y.

To find these lines, we first calculate various sums and means from the given data of Age of Husband (X) and Age of Wife (

Question 7

Estimate the age of husband when the age of wife is 19.

Accepted Answer

Regression analysis, a crucial statistical technique covered in BEY-014 Statistical Methods, helps model the relationship between two variables, enabling us to predict the value of one variable based on the other. This involves deriving two regression lines: one for predicting the dependent variable (Y) from the independent variable (X), and another for predicting X from Y.

To find these lines, we first calculate various sums and means from the given data of Age of Husband (X) and Age of Wife (

Question 8

An ice-cream seller tries to find a relation between his ice-cream sales (Y) with temperature (X1) and distance form school gate (X2). For this purpose he collected the following data: Ice-cream sale (in thousand Rs) Temperature (in °C) Distance (in meter) 10 40 150 15 38 50 12 41 30 17 42 22 20 45

Accepted Answer

Multiple regression analysis is a statistical technique used to model the relationship between a single dependent variable (Y) and two or more independent variables (X₁, X₂, etc.). As discussed in BEY-014, Unit 13 'Multiple Regression Analysis', the general form of a multiple linear regression model with two predictors is given by Ŷ = b₀ + b₁X₁ + b₂X₂, where Ŷ is the predicted sales, X₁ is the temperature, X₂ is the distance from the school gate, b₀ is the intercept, and b₁ and b₂ are the part

BEY-014 Solved Assignment — January 2026 / July 2026

Statistical Methods | IGNOU Bachelor of Science (Applied Sciences - Energy) (BSCAEY)

BEY-014—January 2026 / July 2026

Statistical Methods

Questions & Answers

Download Study Materials

Related Courses

BEY-014 Assignment Questions — January 2026

QQ.1. Explain with example different types of measurement scales used for discrete and continuous variables.

QQ.2. The ages of the 112 people who live on a tropical island are grouped as follows: Age Number 0-9 20 10-19 21 20-29 23 30-39 16 40-49 11 50-59 10 60-69 7 70-79 3 80-89 1 Estimate the mean, median and mode of the given data.

QQ.3. Explain the following five types of graphs based on their skewness and kurtosis giving one example for each type: {Positively Skewed, Negatively Skewed, Leptokurtic, Mesokurtic, Platykurtic}

QQ.4. The marks obtained by 30 students in a Statistics test are given below: Raw Data (Marks out of 100): 45, 32, 55, 48, 62, 75, 38, 41, 56, 65, 79, 85, 50, 49, 71, 52, 68, 59, 43, 60, 66, 72, 58, 47, 39, 53, 64, 76, 80, 34 Construct a frequency table, histogram, frequency polygon and ogive.

QQ.5. Calculate the coefficient of rank correlation of the scores obtained by 9 students in an essay writing competition by two judges, X and Y. Judge X 15 12 13 15 17 19 20 7 18 Judge Y 17 10 15 18 12 20 20 10 15

QQ.6. Find the two lines of regression from the following data: Age of Husband 25 35 42 27 30 32 45 Age of Wife 22 30 32 28 25 30 35 Hence estimate

QQ.6. Estimate the age of husband when the age of wife is 19.

QQ.8. What are non-linear regression. Explain the frequently used non-linear equations and the respective transformed linear equations with a real life example.

QQ.9. The following table shows the prevalence of depression in Germany from 2009 to 2017. Compute the trend values for the following time series using 4 yearly moving averages. Year 2009 2010 2011 2012 2013 2014 2015 2016 2017 Depression (%) 12.5 12.9 13.2 13.6 14 14.4 14.8 15.2 15.7

QQ.10. The sales of a company (in thousands of rupees) for the year 2010 to 2016 are given in the following table. Fit an exponential trend (Y = A.B) and estimate the sales for 2017. Year 2010 2011 2012 2013 2014 2015 2016 Sales 25 27 35 42 85 185 350