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Cluster column charts · 3 marks

Find the answers to the following questions.

  1. (i) Which family spent the least amount overall?
  2. (ii) Approximately how much did Family C spend overall?
  3. (iii) Approximately what percentage of Family C’s expenses were on housing?
Choice 1: Comparing expenditure offamilies across categoriesFamily AFamily BFamily C0500100015002000HousingFoodEducationTransportationHealthcareRecreationChoice 2: Comparing category-wiseexpenditure of each familyHousingFoodEducationTransportationHealthcareRecreation0500100015002000Family AFamily BFamily C
Answer: (i) Family C (₹7040). (ii) About ₹7000 (₹7040). (iii) About 13–14% (9507040 × 100 ≈ 13.5%).

Step-by-step solution

Given: Average weekly expenditure (₹) of three families:
HousingFoodEducationTransportationHealthcareRecreation
Family A19401700128012001770535
Family B175015461500128012100
Family C9501700154014001300150

Idea: These questions are about each family’s total. A cluster chart does not show totals, so we must add up a family’s six columns ourselves.

(i) Which family spent the least amount overall?

  1. Totals: A = 1940 + 1700 + 1280 + 1200 + 1770 + 535 = 8425; B = 1750 + 1546 + 1500 + 1280 + 1210 + 0 = 7286; C = 950 + 1700 + 1540 + 1400 + 1300 + 150 = 7040. Least: Family C.1 mark
Family C (₹7040)

(ii) Approximately how much did Family C spend overall?

  1. Reading Family C’s columns roughly as 950 + 1700 + 1550 + 1400 + 1300 + 150 gives about ₹7000. The exact total is ₹7040.1 mark
About ₹7000 (exactly ₹7040)

(iii) Approximately what percentage of Family C’s expenses were on housing?

  1. Housing share = 9507040 × 100 ≈ 13.5%, so about 13–14% (roughly one-seventh) of Family C’s spending.1 mark
About 13.5%
(i) Family C spent the least overall (₹7040, against ₹8425 for A and ₹7286 for B). (ii) About ₹7000. (iii) About 13.5%.

Check: 8425 + 7286 + 7040 = 22751 = sum of all 18 table values ✓.

Answer to write in the exam

(i)

Total of A = ₹8425, B = ₹7286, C = ₹7040

∴ Family C spent the least overall

(ii)

Family C: 950 + 1700 + 1540 + 1400 + 1300 + 150 = ₹7040

∴ Family C spent about ₹7000 overall

(iii)

Housing % = 9507040 × 100 = 13.49%

∴ About 13.5% of Family C’s expenses were on housing

Common mistakes that cost marks

  • Leaving out a small column such as Recreation (₹150 for Family C) when adding.
  • Picking Family C as ‘least’ only because its housing column is shortest. ‘Overall’ means the total of all categories.
  • Dividing 950 by Family A’s or the grand total instead of Family C’s own total.

How this can come in the exam

MCQ (1 mark)

A family spends ₹1200 on rent out of a total of ₹6000. The percentage spent on rent is

  1. 12%
  2. 20%
  3. 25%
  4. 5%
Show answer

(B) 20%
12006000 × 100 = 20%.

Try one yourself

Using the same table, approximately what percentage of Family A’s expenses were on healthcare?

Show answer

17708425 × 100 ≈ 21%.

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