Look at the following graph. What do you notice? What do you wonder? Write your inferences.
Step-by-step solution
Idea: This is a 100% stacked bar chart: each bar is all the disabled persons of one age group. Compare the same colour across bars to see how the mix changes with age, and remember it says nothing about how many people are in each group.
- Notice: seeing disability grows from about 18% (0–19) to 25% (60+), and movement disability from about 13% to 25%: together half of disabled older people. Hearing stays around 18–20% in every group. Speech (≈ 9% → 4%), intellectual disability (≈ 8% → 2%) and ‘any other’ (≈ 21% → 11%) shrink with age. Multiple disability is highest for the 60+ group (≈ 12%) and next for 0–19 (≈ 9%).1 mark
- Wonder: How many disabled persons are there in each age group? (A 100% chart cannot tell.) What is in ‘any other’? Why is multiple disability common in both the youngest and the oldest? Do the patterns differ between men and women, or villages and cities?1 mark
- Inferences: disabilities linked to ageing (weak eyesight, joint and mobility problems) make up a larger part of disability among older people, while conditions present from birth or childhood (speech, intellectual) make up a larger part among the young. Help for older people should focus on vision and mobility; for the young, on speech and learning support. We cannot conclude that any group has more disabled persons in number.1 mark
Answer to write in the exam
Seeing: ≈ 18% → 25%; movement: ≈ 13% → 25% (rise with age)
Speech: ≈ 9% → 4%; intellectual: ≈ 8% → 2%; any other: ≈ 21% → 11% (fall with age)
Hearing ≈ 18–20% in all groups; multiple highest at 60+ (≈ 12%)
Wonder: numbers in each group are not shown (100% chart)
∴ Age-related disabilities (vision, movement) dominate in old age; childhood conditions dominate among the young
Common mistakes that cost marks
- Saying older people have more movement disability in number. The chart shows shares within each age group, not counts.
- Reading the scale as numbers of people instead of percentages.
- Listing observations without any inference or question, which the question asks for.
How this can come in the exam
In a 100% stacked bar chart, the ‘seeing’ piece is 18% for ages 0–19 and 25% for ages 60+. Which statement is valid?
- More people aged 60+ have a seeing disability
- Seeing disability is a larger share of disabilities among people aged 60+
- Seeing disability affects 25% of all older people
- Fewer children are disabled
Show answer
(B) Seeing disability is a larger share of disabilities among people aged 60+
A 100% bar shows shares within each group only.
Try one yourself
A 100% bar shows that 30% of a town’s accidents in 2010 and 40% in 2020 involved two-wheelers. Can we say the number of two-wheeler accidents rose?
Show answer
No. If the total number of accidents fell enough, 40% of the new total could be fewer than 30% of the old. Only the share rose.
More questions like this
- Individual project: Do at least one of the following.
- Small-group project: Make a group of 3–4 students. Choose one scenario to design a custom rating scheme by assigning appropriate weights: (a) shopping experience at a cloth store, (b) travel experience in a bus, (c) tourism experience of a nearby tourist spot, (d) clinic/hospital experience
- Whole class project: Each student shares the average age of their family and the number of family members. Discuss among the class and come up with a way to find out the average age of all the families of the class.
- Given some data with corresponding weights, what would happen to the weighted average if all the weights are increased by a constant value, say 1? If required, experiment with some data. What do you observe? Justify your answer using algebra.
- A farm has some cows, sheep, and chickens. Last year the cows made up 60%, the sheep 25%, and the chickens 15%. There was a decrease in the number of all three animals’ population over the year. Choose the possibilities for the change in their respective shares of the population —
(i) % of cows decreased, % of sheep decreased, % of chickens decreased
(ii) % of cows increased, % of sheep increased, % of chickens increased
(iii) % of cows remained the same, % of sheep remained the same, % of chickens remained the same
(iv) % of cows decreased, % of sheep increased, % of chickens remained the same
(v) % of cows increased, % of sheep increased, % of chickens decreased.