On the basis of this bar graph, what may be a few questions you may ask your friends?

Question

Homi · Accepted Answer

Understand the Question

A bar graph represents numerical data using rectangular bars where the height of each bar corresponds to its value.
By observing the given bar graph of India's population over different census years, we can frame various questions such as:
- Finding the population in a specific year.
- Calculating the increase in population between two consecutive or non-consecutive census years.
- Identifying the decade with the fastest or slowest population growth.
- Finding the overall change in population across the entire time period.

Step 1 · Reading Population for a Specific Year

From the bar graph, locate the bar corresponding to a specific year (e.g., $1981$ ). Diagram 1

The height of the bar for $1981$ is $68$ . $\text{Population in } 1981 = 68\text{ crores}$

Sample Question 1: What was India's population in $1981$ ?

Step 2 · Finding Population Increase Between Two Years

To find the increase between $1991$ and $2001$ , subtract the population of $1991$ from that of $2001$ . Diagram 2

$\text{Population in } 2001 = 102\text{ crores}$ $\text{Population in } 1991 = 84\text{ crores}$ $\text{Increase} = 102 - 84 = 18\text{ crores}$

Sample Question 2: How much did India's population increase from $1991$ to $2001$ ?

Step 3 · Comparing Population Growth Across Decades

Calculate the population increase for each decade to find which period had the greatest growth. Diagram 3

\begin{aligned} 1951 \text{ to } 1961&: 44 - 36 = 8\text{ crores} \\ 1961 \text{ to } 1971&: 54 - 44 = 10\text{ crores} \\ 1971 \text{ to } 1981&: 68 - 54 = 14\text{ crores} \\ 1981 \text{ to } 1991&: 84 - 68 = 16\text{ crores} \\ 1991 \text{ to } 2001&: 102 - 84 = 18\text{ crores} \end{aligned}

The largest increase is $18\text{ crores}$ , occurring from $1991$ to $2001$ .

Sample Question 3: In which decade did India's population grow the most?

Step 4 · Calculating Total Population Growth Over the Entire Period

Find the total change in population from the start year ( $1951$ ) to the final year ( $2001$ ). Diagram 4

$\text{Population in } 2001 = 102\text{ crores}$ $\text{Population in } 1951 = 36\text{ crores}$ $\text{Total Increase} = 102 - 36 = 66\text{ crores}$

Sample Question 4: What was the total increase in India's population from $1951$ to $2001$ ?

Answer

A few questions you may ask are:

What was India's population in 1981?
How much did India's population increase from 1991 to 2001?
In which decade did India's population grow the most?
What was the total increase in India's population from 1951 to 2001?

Common Mistakes

Ignoring Units: Forgetting to state or consider the unit (crores) when reading values from the vertical axis.
Confusing Population with Population Growth: Mistaking the total population in a year (e.g., $102\text{ crores}$ ) for the increase in population during that decade ( $18\text{ crores}$ ).

Question 8

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