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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.

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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}
MediumTHEORY5 marks2019(TU FOHSS Final)

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}

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}
MediumTHEORY10 marks2019(TU FOHSS Final)

Determine First Quartile (Q1)(Q_1), 7th Decile (D7)(D_7), and 80th Percentile (P80)(P_{80}) 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}
MediumTHEORY5 marks2020(TU FOHSS Final)

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}
MediumTHEORY5 marks2020(TU FOHSS Final)

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}
MediumTHEORY10 marks2020(TU FOHSS Final)

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}
MediumTHEORY5 marks2021(TU FOHSS Final)

Determine First Quartile Q1),D7Q_1), D_7 and p80(80thpercentilep_80 (80th \text{percentile} 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}
MediumTHEORY5 marks2021(TU FOHSS Final)

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}

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)
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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)

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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.