Class 8 Data Handling — practice questions with answers

Data Handling · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the class mark of the interval 30–40?

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Answer: B) 35

Class mark =

\frac{l o w er + u pp er}{2}

\frac{30 + 40}{2}

= 35.

2. What is the class mark of the interval 20–30?

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Answer: B) 25

Class mark =

\frac{l o w er + u pp er}{2}

\frac{20 + 30}{2}

= 25.

3. Two coins are tossed together. Find P(getting at least one head).

A1/4
B1/2
C3/4
D1

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Answer: C) 3/4

Outcomes: HH, HT, TH, TT. 'At least one head' = HH, HT, TH → 3 favourable. P =

\frac{3}{4}

4. Two dice are rolled. Find P(getting a doublet, i.e. both dice show the same number).

A1/6
B1/3
C1/12
D1/36

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Answer: A) 1/6

Doublets: (1,1),(2,2),(3,3),(4,4),(5,5),(6,6) = 6 outcomes. P =

\frac{6}{36} = \frac{1}{6}

5. Which statement is CORRECT?

AIn a pie chart, the sector angle is proportional to the value the sector represents.
BIn a histogram, taller bars always mean wider class intervals.
CProbability of an event can be 1.5 if the event is very likely.
DA bar graph is the only correct way to show grouped continuous data.

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Answer: A) In a pie chart, the sector angle is proportional to the value the sector represents.

Sector angle = (value/total) × 360°, so it is proportional to the value. Bar height shows frequency not width; probability never exceeds 1; grouped continuous data uses a histogram.

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