The following table shows the percentage distribution of people in a city working in the night shift, and the percentage distribution of females among them in six different industries, namely, IT, Sports, Call centre, Sales, Banking and Chemicals, respectively. Total number of people in a city working in night shift is 80500. Based on the data in the table, answer the questions Industry-wise Percentage of People working in Night shiftIndustry Distribution (%) of people working in the Night Shift (out of 80500) Distribution (%) of females among the people working in the Night Shift IT 12% 20% Sports 18% 20% Call centre 32% 45% Sales 8% 60% Banking 14% 40% Chemicals 16% 15%
What is the approximate average number of females working in the night shift from all the industries together?
4454
Calculating Average Females in Night Shift Industries
The question asks us to find the approximate average number of females working in the night shift across six different industries based on the provided table data. We are given the total number of people working in the night shift and the percentage distribution of these people and females among them in each industry.
Total number of people working in night shift = 80500.
To find the average number of females, we first need to calculate the number of females working in the night shift for each industry. Then, we sum these numbers up and divide by the total number of industries (which is 6).
Step-by-Step Calculation of Females in Each Industry's Night Shift
We will calculate the number of people in the night shift for each industry and then the number of females in the night shift for that specific industry using the given percentages.
| Industry | Distribution (%) of people working in the Night Shift | Number of people working in Night Shift | Distribution (%) of females among night shift workers | Number of Females working in Night Shift |
|---|---|---|---|---|
| IT | 12% | $\frac{12}{100} \times 80500 = 9660$ | 20% | $\frac{20}{100} \times 9660 = 1932$ |
| Sports | 18% | $\frac{18}{100} \times 80500 = 14490$ | 20% | $\frac{20}{100} \times 14490 = 2898$ |
| Call centre | 32% | $\frac{32}{100} \times 80500 = 25760$ | 45% | $\frac{45}{100} \times 25760 = 11592$ |
| Sales | 8% | $\frac{8}{100} \times 80500 = 6440$ | 60% | $\frac{60}{100} \times 6440 = 3864$ |
| Banking | 14% | $\frac{14}{100} \times 80500 = 11270$ | 40% | $\frac{40}{100} \times 11270 = 4508$ |
| Chemicals | 16% | $\frac{16}{100} \times 80500 = 12880$ | 15% | $\frac{15}{100} \times 12880 = 1932$ |
Calculating Total Number of Females in Night Shift
Now, we sum up the number of females from all six industries:
Total Females = Females (IT) + Females (Sports) + Females (Call centre) + Females (Sales) + Females (Banking) + Females (Chemicals)
Total Females = $1932 + 2898 + 11592 + 3864 + 4508 + 1932 = 26726$
Calculating Approximate Average Number of Females
The average number of females working in the night shift is the total number of females divided by the number of industries, which is 6.
Average Females = $\frac{\text{Total Females}}{\text{Number of Industries}}$
Average Females = $\frac{26726}{6}$
Average Females $\approx 4454.33$
The question asks for the approximate average number of females. Rounding the calculated average to the nearest whole number gives 4454.
Final Answer Derivation
Based on our calculations, the approximate average number of females working in the night shift from all industries together is 4454.
Revision Table: Night Shift Data Analysis
| Concept | Description |
|---|---|
| Total Night Shift People | The base number of people working during the night shift across all industries (80500). |
| Industry Distribution (%) | Percentage of the total night shift people working in a specific industry. |
| Females Distribution (%) | Percentage of females among the people working in the night shift within a specific industry. |
| Calculating Industry People | Multiply Total Night Shift People by Industry Distribution percentage. |
| Calculating Industry Females | Multiply Number of people in the industry's night shift by Females Distribution percentage for that industry. |
| Average Calculation | Sum of Females in each industry divided by the number of industries (6). |
Additional Information: Understanding Percentages in Data
- Percentages are used to express a part of a whole in terms of 100.
- To find the value of a percentage of a number, convert the percentage to a decimal (divide by 100) and multiply by the number. For example, 12% of 80500 is calculated as $0.12 \times 80500$.
- Data interpretation questions often require multi-step calculations involving percentages to arrive at the final answer, as shown in this night shift analysis problem.
- Average helps in understanding the typical value in a dataset. In this case, it gives a sense of how many females on average work in night shifts per industry.
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?
