Class 6 Tally Marks and Frequency — 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. How many is one full group of tally marks (the bundle with a slanting line across) equal to?

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Answer: B) 5

A group of tally marks is made of 4 vertical lines crossed by a 5th slanting line, so one bundle stands for 5.

2. To represent the number 19 in tally marks, how many full bundles are needed?

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Answer: B) 3

19 = 3 x 5 + 4 = 15 + 4. So 3 full bundles and 4 single strokes; the number of full bundles is 3.

3. Priya surveyed 30 students about their favourite sport.
Her tally chart shows: Cricket = 3 bundles + 2 strokes, Football = 2 bundles + 1 stroke.
The rest chose Kabaddi.
How many students chose Kabaddi?

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Answer: B) 2

Cricket = 15 + 2 = 17, Football = 10 + 1 = 11, sum = 28. Kabaddi = 30 - 28 = 2 students.

4. The frequency table of T-shirt sizes sold shows: S = 8, M = 14, L = 11, XL = 7.
What fraction of the total sales were size M?
(Give the fraction in simplest form.)

A $\frac{14}{40}$
B $\frac{7}{20}$
C $\frac{11}{40}$
D $\frac{2}{5}$

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Answer: B)

\frac{7}{20}

Total = 8 + 14 + 11 + 7 = 40. Fraction for M =

\frac{14}{40} = \frac{7}{20}

in simplest form.

5. A class of 35 students recorded the number of glasses of water they drink daily.
The frequency table is: 3 glasses = 8, 4 glasses = 11, 5 glasses = 9, 6 glasses = the rest.
What is the difference between the highest and the lowest frequency in the table?

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Answer: B) 4

6 glasses = 35 - (8 + 11 + 9) = 35 - 28 = 7. Frequencies are 8, 11, 9, 7. Highest = 11, lowest = 7, difference = 11 - 7 = 4.

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