Direction: The following table presents the data on the number of vehicles of three different types (A, B and C) produced by a company during seven different years from 2012 to 2018. Based on the data in the table, answer the questions 1 - 5: Year-Wise production of three types of vehicles Vehicle Year A - Type B - Type C - Type 2012 5000 20000 15000 2013 15,000 10000 22500 2014 10,000 15000 30000 2015 17,500 15000 23000 2016 25,000 20,000 15000 2017 13,000 25,000 20000 2018 30,000 35,000 25000
What was the average number of B-Type vehicles produced by the company over the years?
20000
Understanding the Question: Average B-Type Vehicle Production
The question asks us to find the average number of B-Type vehicles produced by the company over the seven years from 2012 to 2018. To find the average, we need to sum up the production of B-Type vehicles for each of these years and then divide the total sum by the number of years.
Analyzing the Vehicle Production Data Table
The provided table shows the year-wise production data for three types of vehicles: A, B, and C. We are interested in the B-Type vehicle production data for the years 2012 through 2018.
| Year | B - Type Production |
|---|---|
| 2012 | 20000 |
| 2013 | 10000 |
| 2014 | 15000 |
| 2015 | 15000 |
| 2016 | 20000 |
| 2017 | 25000 |
| 2018 | 35000 |
Calculating the Average B-Type Production
The average is calculated by taking the sum of all values and dividing by the count of values. In this case, we sum the production figures for B-Type vehicles over the 7 years and divide by 7.
Sum of B-Type production from 2012 to 2018:
\( \text{Sum} = 20000 + 10000 + 15000 + 15000 + 20000 + 25000 + 35000 \)
\( \text{Sum} = 140000 \)
Number of years = 7
Average B-Type Production = \( \frac{\text{Sum}}{\text{Number of years}} \)
Average B-Type Production = \( \frac{140000}{7} \)
Average B-Type Production = \( 20000 \)
Step-by-Step Average Calculation
- Identify the production numbers for B-Type vehicles for each year from 2012 to 2018. These are 20000, 10000, 15000, 15000, 20000, 25000, and 35000.
- Calculate the total sum of these production numbers: \( 20000 + 10000 + 15000 + 15000 + 20000 + 25000 + 35000 = 140000 \).
- Count the number of years involved, which is 7 (from 2012 to 2018 inclusive).
- Divide the total sum by the number of years: \( \frac{140000}{7} \).
- The result of the division is \( 20000 \).
Final Answer for B-Type Vehicle Average
The average number of B-Type vehicles produced by the company over the years from 2012 to 2018 is 20000.
Revision Table: Key Concepts in Data Analysis
| Concept | Description | Formula |
|---|---|---|
| Average (Mean) | A measure of central tendency; sum of values divided by the count of values. | \( \text{Average} = \frac{\text{Sum of all values}}{\text{Number of values}} \) |
| Data Interpretation | The process of reviewing data through some predefined processes which will help assign some meaning to the data and arrive at a relevant conclusion. | N/A |
| Table Data | Information organized in rows and columns, used for presenting and comparing data. | N/A |
Additional Information: Calculating Averages from Data
Calculating the average is a fundamental skill in data analysis. It gives us a single value that represents the typical or central value of a set of numbers. In this problem, the average production figure of 20000 for B-Type vehicles gives us a sense of the company's performance in producing this type of vehicle over the seven-year period. Understanding how to extract relevant data from tables and perform basic calculations like finding the average is crucial for interpreting data correctly.
The average is influenced by all values in the dataset. Very high or very low values (outliers) can impact the average. Other measures like median or mode can also be used depending on the nature of the data and the type of insight needed.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
