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In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.
I. Fill in the blanks.
(i) To find the average of 27, 39 and 18, we divide _____ by _____.
(ii) To find the average of ₹ 140, ₹ 220, ₹ 190 and ₹ 150, we divide ₹ _____ by _____
(iii) To find the average of 235, 355, 536, 176 and 498, we divide _____ by _____.
(iv) To find the average of 240 cm, 330 cm, 450 cm and 40 cm, we divide _____ cm by _____.
Answer:
I. (i) 84; 3
(ii) 700; 4
(iii) 1800; 5
(iv) 1060; 4
II. Find the average of the quantities.
(i) 19, 27, 12, 18
(ii) 7, 14, 17, 24, 28
(iii) 14, 16, 27, 15
(iv) 22, 36, 62, 88
(v) 15, 65, 35, 75, 95
(vi) 40, 60, 50, 86
(vii) 49, 59, 69, 13, 45
(viii) 55, 65, 75, 60, 70
(ix) 60, 70, 80, 90, 95
(x) \(\frac{3}{9}\), \(\frac{5}{9}\), \(\frac{7}{9}\), \(\frac{}{9}\), \(\frac{8}{9}\)
(xi) 24.4, 11.6, 20.5, 15.5, 20.5
(xii) 2\(\frac{1}{2}\), 1\(\frac{1}{4}\), \(\frac{3}{8}\), \(\frac{9}{8}\), 2\(\frac{3}{4}\)
Answer:
II. (i) 19
(ii) 18
(iii) 18
(iv) 52
(v) 57
(vi) 59
(vii) 47
(viii) 65
(ix) 79
(x) 0.6
(xi) 28.5
(xii) 1.6
III. Find the correct answer.
(i) The average of \(\frac{1}{6}\), \(\frac{1}{4}\), \(\frac{1}{2}\) and \(\frac{1}{3}\) is –
(a) \(\frac{1}{6}\); (b) \(\frac{5}{16}\); (c) 1\(\frac{1}{4}\); (d) \(\frac{3}{10}\)
(ii) The average of 24.6, 42.4, 35.3 and 46.7 is –
(a) 42.6; (b) 39.25; (c) 45.7; (d) 37.25
(iii) The sum of six numbers are 480. The average of first five numbers are 79. The sixth number is –
(a) 55; (b) 96; (c) 85; (d) 79
Answer:
III. (i) (b) \(\frac{5}{16}\)
(ii) (d) 37.25
(iii) (c) 85
IV. Fill in the blanks:
Answer:
IV. (a) 220; 36.67 (Approx)
(b) 87 cm ; 29 cm
(c) 28; 5.6
(d) 123; 30.75
(e) 162 g; 32.4 g
V. Fill in the blanks:
Answer:
IV. (a) 7
(b) 10
(c) 441
(d) 12
(e) 112.5
VI. Find the average of first 10 prime numbers.
Answer: 12.9
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VII. The average height of a family of five is 150 cm. If the heights of 4 family members is 153, 150, 151 and 152, find the height of the fifth member.
Answer: 144 cm
VIII. The following are the scores of Sam, John and George in a certain year:
(i) Whose average is the best and by how much?
(ii) Against which country did they score more than their individual average?
Answer: (i) George; 163.33 (Approx)
(ii) Sam scores more than his average against America and Australia.
John scores more than his average against Australia.
George scores more than his average against America and Australia.
IX. Find the average of first ten odd numbers.
Answer: 10
X. Find the average of 1 hour 25 minutes, 2 hours 40 minutes, 3 hours 35 minutes and 4 hours.
Answer: 2 hours 55 minutes.
XI. Ryan covered a distance of 42 km in 3 hrs and a further distance of 44 km in 4 hrs. Find his average speed.
Answer: 12.29 km/hr (Approx)
XII. The average of 20 numbers is 75. The number 86 was incorrectly read as 68 while calculating. Find the correct average.
Answer: 75.9
XIII. The total sales in a coffee shop for a week are $ 9723.00. What is the average sale per day?
Answer: $ 1389
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