Direction: Consider the following table that shows the number of girls enrolled in three different Universities A, B and C over the years 2015 to 2019. Based on the data in the table, answer the question.Year-wise Number of Girls in Different Universities Year Number of girls in a University A B C 2015 15,000 10,000 5,000 2016 10,000 17,500 20,000 2017 22,500 12,000 15,000 2018 20,000 25,000 15,000 2019 25,000 20,000 22,500
What is the average number of girls enrolled in the year 2017 in all the three Universities together?
16,500
Calculating Average Girls Enrolled in Universities in 2017
The question asks us to find the average number of girls enrolled in the year 2017 across the three universities A, B, and C. We need to use the data provided in the table.
| Year | Number of girls in a University | ||
|---|---|---|---|
| A | B | C | |
| 2015 | 15,000 | 10,000 | 5,000 |
| 2016 | 10,000 | 17,500 | 20,000 |
| 2017 | 22,500 | 12,000 | 15,000 |
| 2018 | 20,000 | 25,000 | 15,000 |
| 2019 | 25,000 | 20,000 | 22,500 |
To find the average number of girls enrolled in 2017 across all three universities, we need to follow these steps:
- Identify the number of girls enrolled in each university (A, B, and C) for the year 2017 from the table.
- Sum up the number of girls from all three universities for that specific year.
- Divide the total sum by the number of universities (which is 3).
Enrollment Data for 2017
From the table, the number of girls enrolled in 2017 are:
- University A: 22,500
- University B: 12,000
- University C: 15,000
Summing the Enrollments
Now, let's calculate the total number of girls enrolled in the three universities in 2017:
\( \text{Total enrollment in 2017} = \text{Enrollment in A} + \text{Enrollment in B} + \text{Enrollment in C} \)
\( \text{Total enrollment in 2017} = 22,500 + 12,000 + 15,000 \)
\( \text{Total enrollment in 2017} = 49,500 \)
Calculating the Average
To find the average, we divide the total enrollment by the number of universities (3):
\( \text{Average enrollment in 2017} = \frac{\text{Total enrollment in 2017}}{\text{Number of universities}} \)
\( \text{Average enrollment in 2017} = \frac{49,500}{3} \)
\( \text{Average enrollment in 2017} = 16,500 \)
Therefore, the average number of girls enrolled in the year 2017 in all the three Universities together is 16,500.
Revision Table: University Enrollment Data
| Year | University | Number of Girls |
|---|---|---|
| 2017 | A | 22,500 |
| 2017 | B | 12,000 |
| 2017 | C | 15,000 |
| Total (2017) | 49,500 | |
| Average (2017) | 16,500 |
Additional Information: Understanding Averages
An average is a single number that represents the central value of a set of numbers. It is calculated by summing all the values in the set and then dividing by the count of values in the set.
\( \text{Average} = \frac{\text{Sum of all values}}{\text{Count of values}} \)
In this problem, the values are the number of girls enrolled in each university in 2017, and the count of values is the number of universities (3).
Averages are useful in data analysis to get a quick sense of the typical value within a dataset or to compare different datasets or categories.
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?
