Data Interpretation

Bar Graphs

Easy

In the following, a year corresponds to 1st of January of that year.

A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50.

The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.

Figure for CAT 2022 DILR question 10 (Data Interpretation)

How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?

Entered answer:

✅ Correct Answer: 30

Slide 1/3

Understanding the set :-

There is a study been conducted of 1000 males and 1000 females to determine the mortality rate

This set contains 4 charts -

i) First chart consist of age of those 1000 males and females in 1990

ii) second chart consist of their ages in 2000s

iii) third chart consist of their ages in 2010

iii) Forth chart consist of their ages in 2020

Age group (In 1980)	Males alive in 1990	Males alive in 2000	Males alive in 2010	Males alive in 2020
10–20	230	180	150	140
20–30	235	205	165	125
30–40	210	160	90	50
40–50	190	100	25	5

This table consist of all 1000 males data over the years from the chart.

Age group (In 1980)	Females alive in 1990	Females alive in 2000	Females alive in 2010	Females alive in 2020
10–20	240	210	160	100
20–30	225	175	145	105
30–40	190	150	100	60
40–50	220	120	30	18

This table consist of all 1000 female data over the years from the chart.

Understanding what we're looking for: females who were $20-30$ years old in $1980$ and died between ages $50-60$ .

Track the specific group through time:

• $1980$ : $250$ females aged $20-30$

• $1990$ : These same females are now aged $30-40$

• $2000$ : These same females are now aged $40-50$

• $2010$ : These same females are now aged $50-60$

• $2020$ : These same females are now aged $60-70$

From the charts, find how many from our target group were alive:

• $2000$ : $175$ females alive (aged $40-50$ )

• $2010$ : $145$ females alive (aged $50-60$ )

Calculate deaths between ages $50-60$ :

Deaths between ages $50-60 =$ Alive in $2000 -$ Alive in $2010$

Deaths between ages $50-60 = 175 - 145 = 30$

Why this works: In $2000$ , our target group was $40-50$ years old ( $175$ alive). In $2010$ , our target group was $50-60$ years old ( $145$ alive). The difference represents those who died while aging from $40-50$ to $50-60$ , meaning they died between ages $50-60$ .

Answer: $30$ females

Question 6

In 2000, what was the ratio of the number of dead males to dead females among those being tracked?

Question 7

How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?

Question 8

How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?

Question 9

How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010?

How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?

Solution

More from this set:

Keyboard Shortcuts

CAT Past Year Questions (Topic-Wise)