What was the total Engineering enrolment over the four years?

1500. 320 + 360 + 400 + 420 = 1500.

How many students in total were enrolled across all four courses in 2021?

960. 400 + 240 + 170 + 150 = 960.

What was the average annual Management enrolment over the four years?

220. 180 + 210 + 240 + 2504 = 8804 = 220.

By what percentage did Science enrolment grow from 2019 to 2022?

33 13\%. Growth = 200 - 150150 100 = 33 13\%.

In 2022, Arts enrolment was approximately what percent of the total 2022 enrolment across all four courses?

≈ 15.5%. The 2022 total is 420 + 250 + 200 + 160 = 1030, so Arts is 1601030 100 15.5\%.

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Data Interpretation

Data Tables — Questions & Answers

A data table packs several series into rows and columns. The work is careful reading plus row/column totals, averages, and each cell's share of its row or column total.

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Row (or column) total $=$ sum of that row's (or column's) entries
A cell's percentage share $= \dfrac{\text{cell value}}{\text{row or column total}}\times 100\%$
Average of a row $= \dfrac{\text{row total}}{\text{number of entries}}$

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Students Enrolled in Four Courses at a College, 2019–2022

The table shows the number of students enrolled in four courses over four years. Study it and answer the questions below.

Course	2019	2020	2021	2022
Engineering	320	360	400	420
Management	180	210	240	250
Science	150	160	170	200
Arts	120	130	150	160

5 solved Data Tables questions

Try each question first — tap an option to check your answer, or open Learn step by step for a guided walkthrough.

01
What was the total Engineering enrolment over the four years?
4 steps · reveal one at a time
1. Step 1: Identify enrolments
  First, identify the Engineering enrolment for each of the four years. These figures are $320$ , $360$ , $400$ , and $420$ students respectively.
2. Step 2: Calculate total
  To find the total Engineering enrolment, we need to sum the enrolments from each of the four years. This means adding all the identified figures together.
3. Step 3: Perform addition
  Add the enrolment figures: $320 + 360 + 400 + 420$ . This calculation gives a total of $1500$ students.
4. Step 4: The answer
  So the answer is (B) 1500, which is the sum of all Engineering enrolments over the four years.
02
How many students in total were enrolled across all four courses in 2021?
4 steps · reveal one at a time
1. Step 1: Understand the Goal
  The question asks for the total number of students enrolled across all four courses specifically in the year 2021. This means we need to sum up the enrollments for each course for that particular year.
2. Step 2: Identify Enrollments
  From the provided data, locate the enrollment figures for each of the four courses in 2021. These figures are $400$ , $240$ , $170$ , and $150$ students respectively.
3. Step 3: Calculate Total
  To find the total enrollment, add up the individual enrollments for each course in 2021: $400 + 240 + 170 + 150$ . Performing this sum gives us $960$ students.
4. Step 4: The answer
  So the answer is (D) 960. This is the sum of all student enrollments across the four courses in 2021.
03
What was the average annual Management enrolment over the four years?
4 steps · reveal one at a time
1. Step 1: Identify enrolments
  To find the average annual Management enrolment, we first need the enrolment figures for each of the four years. Let's assume these are 180, 210, 240, and 250.
2. Step 2: Sum enrolments
  Next, we sum these individual annual enrolments to find the total enrolment over the four years. This calculation is $180 + 210 + 240 + 250 = 880$ .
3. Step 3: Calculate average
  To find the average annual enrolment, divide the total enrolment by the number of years. In this case, it's 4 years. So, the average is $\frac{880}{4}$ .
4. Step 4: The answer
  So the answer is (C) 220. Performing the division, we get $880 \div 4 = 220$ . This matches option (C).
04
By what percentage did Science enrolment grow from 2019 to 2022?
4 steps · reveal one at a time
1. Step 1: Find enrolment values
  First, let's find the Science enrolment for the specified years. From the data, enrolment in 2019 was $150$ , and in 2022 it was $200$ .
2. Step 2: Calculate absolute growth
  Next, we find the absolute growth by subtracting the initial enrolment from the final enrolment. This is $200 - 150 = 50$ .
3. Step 3: Calculate percentage growth
  To find the percentage growth, we divide the absolute growth by the initial enrolment and multiply by $100$ . The formula is $\frac{\text{Growth}}{\text{Initial Value}} \times 100\%$ . So, we have $\frac{50}{150} \times 100\% = \frac{1}{3} \times 100\% = 33\tfrac{1}{3}\%.$
4. Step 4: The answer
  So the answer is (C) $33\tfrac{1}{3}\%$ . This represents the percentage increase in Science enrolment from 2019 to 2022.
05
In 2022, Arts enrolment was approximately what percent of the total 2022 enrolment across all four courses?
4 steps · reveal one at a time
1. Step 1: Find Arts enrolment
  First, identify the enrolment for Arts in 2022. From the provided data, Arts enrolment in 2022 was $160$ . This is the specific part of the total enrolment we need to find the percentage for.
2. Step 2: Calculate total enrolment
  Next, calculate the total enrolment across all four courses in 2022. Summing the enrolments: $420$ (Science) $+ 250$ (Commerce) $+ 200$ (Engineering) $+ 160$ (Arts) $= 1030$ . This is our denominator.
3. Step 3: Calculate the percentage
  Now, to find what percent Arts enrolment is of the total, divide Arts enrolment by the total and multiply by $100$ . So, $\frac{160}{1030} \times 100$ . This calculation gives approximately $15.53\%$ . We need to round this to one decimal place.
4. Step 4: The answer
  So the answer is (B) \u2248 15.5%. The calculated percentage of Arts enrolment relative to the total enrolment in 2022 is approximately $15.5\%$ , which matches this option.

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