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ProgramsBCASemester 3Probability and StatisticsUnit 2: Descriptive Statistics (6Hrs)
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BCA Semester 3 – Probability and Statistics – Unit 2: Descriptive Statistics (6Hrs)

Comprehensive questions and detailed answers for Unit 2: Descriptive Statistics (6Hrs). Perfect for exam preparation and concept clarity.

8
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55
Marks
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1

Determine average wages from the following data:

Wages25-3030-3535-4040-4545-5050-5555-6060-6565-70No. of workers10131821242820118\begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Wages} & 25\text{-}30 & 30\text{-}35 & 35\text{-}40 & 40\text{-}45 & 45\text{-}50 & 50\text{-}55 & 55\text{-}60 & 60\text{-}65 & 65\text{-}70 \\ \hline \text{No. of workers} & 10 & 13 & 18 & 21 & 24 & 28 & 20 & 11 & 8 \\ \hline \end{array}WagesNo. of workers​25-3010​30-3513​35-4018​40-4521​45-5024​50-5528​55-6020​60-6511​65-708​​
MediumTHEORY5 marks2019(TU FOHSS Final)
2

The labor productivity indexes of Nepal are recorded below:

Sector201520162017Agriculture100125138Manufacturing1006053Community and Social Service1008980\begin{array}{|c|c|c|c|} \hline \text{Sector} & 2015 & 2016 & 2017 \\ \hline \text{Agriculture} & 100 & 125 & 138 \\ \text{Manufacturing} & 100 & 60 & 53 \\ \text{Community and Social Service} & 100 & 89 & 80 \\ \hline \end{array}SectorAgricultureManufacturingCommunity and Social Service​2015100100100​20161256089​20171385380​​

Question: Does the labor productivity index vary due to:

i) Difference in the sector  ii) Difference in the time period\text{i) Difference in the sector \\ \quad ii) Difference in the time period}i) Difference in the sector  ii) Difference in the time period
MediumTHEORY10 marks2019(TU FOHSS Final)
3

Determine First Quartile (Q1)(Q_1)(Q1​), 7th Decile (D7)(D_7)(D7​), and 80th Percentile (P80)(P_{80})(P80​) from the following data:

Age in years101214161820222426No. of people211243527171185\begin{array}{|c|c|c|c|c|c|c|c|c|} \hline \text{Age in years} & 10 & 12 & 14 & 16 & 18 & 20 & 22 & 24 & 26 \\ \hline \text{No. of people} & 2 & 11 & 24 & 35 & 27 & 17 & 11 & 8 & 5 \\ \hline \end{array}Age in yearsNo. of people​102​1211​1424​1635​1827​2017​2211​248​265​​
MediumTHEORY5 marks2020(TU FOHSS Final)
4

Calculate the median and mode from the following distribution:

Expenditure (000 Rs)10-2020-3030-4040-5050-6060-70Number of families712151385\begin{array}{|c|c|c|c|c|c|c|} \hline \text{Expenditure (000 Rs)} & 10\text{-}20 & 20\text{-}30 & 30\text{-}40 & 40\text{-}50 & 50\text{-}60 & 60\text{-}70 \\ \hline \text{Number of families} & 7 & 12 & 15 & 13 & 8 & 5 \\ \hline \end{array}Expenditure (000 Rs)Number of families​10-207​20-3012​30-4015​40-5013​50-608​60-705​​
MediumTHEORY5 marks2020(TU FOHSS Final)
5

From the following data, determine the average marks of students, standard deviation, and coefficient of variation:

Marks0-1010-2020-3030-4040-5050-6060-7070-8080-90No. of people549086586282786670\begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Marks} & 0\text{-}10 & 10\text{-}20 & 20\text{-}30 & 30\text{-}40 & 40\text{-}50 & 50\text{-}60 & 60\text{-}70 & 70\text{-}80 & 80\text{-}90 \\ \hline \text{No. of people} & 54 & 90 & 86 & 58 & 62 & 82 & 78 & 66 & 70 \\ \hline \end{array}MarksNo. of people​0-1054​10-2090​20-3086​30-4058​40-5062​50-6082​60-7078​70-8066​80-9070​​
MediumTHEORY10 marks2020(TU FOHSS Final)
6

The following table shows the monthly salary of employees in a certain locality of Lalitpur Sub‑metropolitan City:

Salary (000)0 ⁣− ⁣1010 ⁣− ⁣2020 ⁣− ⁣3030 ⁣− ⁣4040 ⁣− ⁣5050 ⁣− ⁣6060 ⁣− ⁣70No. of employees15222835242016\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Salary (000)} & 0\!-\!10 & 10\!-\!20 & 20\!-\!30 & 30\!-\!40 & 40\!-\!50 & 50\!-\!60 & 60\!-\!70 \\ \hline \text{No.\ of employees} & 15 & 22 & 28 & 35 & 24 & 20 & 16 \\ \hline \end{array}Salary (000)No. of employees​0−1015​10−2022​20−3028​30−4035​40−5024​50−6020​60−7016​​
MediumTHEORY5 marks2021(TU FOHSS Final)
7

Determine First Quartile Q1),D7Q_1), D_7 Q1​),D7​ and p80(80thpercentilep_80 (80th \text{percentile} p8​0(80thpercentile from the following data:

Age in years10 ⁣− ⁣2020 ⁣− ⁣3030 ⁣− ⁣4040 ⁣− ⁣5050 ⁣− ⁣6060 ⁣− ⁣7070 ⁣− ⁣8080 ⁣− ⁣90No. of peoples1011273529171110\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Age in years} & 10\!-\!20 & 20\!-\!30 & 30\!-\!40 & 40\!-\!50 & 50\!-\!60 & 60\!-\!70 & 70\!-\!80 & 80\!-\!90 \\ \hline \text{No.\ of peoples} & 10 & 11 & 27 & 35 & 29 & 17 & 11 & 10 \\ \hline \end{array}Age in yearsNo. of peoples​10−2010​20−3011​30−4027​40−5035​50−6029​60−7017​70−8011​80−9010​​
MediumTHEORY5 marks2021(TU FOHSS Final)
8

The following data represents the scores made in an intelligence test by the groups of students from section A and section B of National College:

Student no.12345678910Section A981067678910Section B10868987858\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \text{Student no.} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \text{Section A} & 9 & 8 & 10 & 6 & 7 & 6 & 7 & 8 & 9 & 10 \\ \hline \text{Section B} & 10 & 8 & 6 & 8 & 9 & 8 & 7 & 8 & 5 & 8 \\ \hline \end{array}Student no.Section ASection B​1910​288​3106​468​579​668​777​888​995​10108​​

Test which group is more consistent to make scores in the intelligence test on the basis of coefficient of variation.

MediumTHEORY10 marks2021(TU FOHSS Final)
Showing 8 questions

Sample Questions

Determine average wages from the following data: \[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Wages} & 25\text{-}30 & 30\text{-}35 & 35\text{-}40 & 40\text{-}45 & 45\text{-}50 & 50\text{-}55

Marks: 5Chapter: Unit 2: Descriptive Statistics (6Hrs)

The labor productivity indexes of Nepal are recorded below: \[ \begin{array}{|c|c|c|c|} \hline \text{Sector} & 2015 & 2016 & 2017 \\ \hline \text{Agriculture} & 100 & 125 & 138 \\ \text{Manufacturing}

Marks: 10Chapter: Unit 2: Descriptive Statistics (6Hrs)

Determine First Quartile $(Q1)$, 7th Decile $(D7)$, and 80th Percentile $(P{80})$ from the following data: \[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline \text{Age in years} & 10 & 12 & 14 & 16 & 18 & 2

Marks: 5Chapter: Unit 2: Descriptive Statistics (6Hrs)

Calculate the median and mode from the following distribution: \[ \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Expenditure (000 Rs)} & 10\text{-}20 & 20\text{-}30 & 30\text{-}40 & 40\text{-}50 & 50\tex

Marks: 5Chapter: Unit 2: Descriptive Statistics (6Hrs)

From the following data, determine the average marks of students, standard deviation, and coefficient of variation: \[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Marks} & 0\text{-}10 & 10\text{

Marks: 10Chapter: Unit 2: Descriptive Statistics (6Hrs)

And more questions available on this page.

About Unit 2: Descriptive Statistics (6Hrs) Questions

This page contains comprehensive questions from the Unit 2: Descriptive Statistics (6Hrs) chapter of Probability and Statistics, part of the BCA Semester 3 curriculum. All questions include detailed model answers from past TU exam papers.

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Unit 2: Descriptive Statistics (6Hrs) chapter questions with answers for Probability and Statistics (BCA Semester 3). Prepare for TU exams with our comprehensive question bank and model answers.

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