Sanju recorded his scores for the weekly math quizzes that he gave:

8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 6

What is the difference between the modes of his scores for the first 10 observations and the next 15 observations?

A. 4 B. 7

C. 6 D. 1

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Solution

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Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. Find the value of:

(1) 3⁶
(2) 6³
(3) 2⁶
(4) 1⁸
(5) 5⁴
(6) 4³
(7) 10⁵
(8) 10⁷
(9) 7⁴
(10) 8²

The following are the scores that Sanju scored in his weekly maths quizzes: 8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 6
What is the mode of his scores?

A. 5 B. 7

C. 6 D. 4

Q. In a shop, different sizes of shoes sold in a week are 7, 9, 8, 6, 7, 10, 6, 7, 8, 9, 11, 5, 6, 7, 8, 5, 9, 10, 9, 11, 12, 8, 3, 3, 5, 4, 6, 7, 4, 6, 7, 8, 8, 6, 9. What is the difference of the number between shoes sold of size 6 and size 7?

Construct a frequency table for the following:
$7, 8, 6, 5, 6, 7, 7, 9, 8, 10, 7, 6, 7, 8, 8, 9, 10, 5, 7, 8, 7, 6$

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Sanju recorded his scores for the weekly math quizzes that he gave: 8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 6 What is the difference between the modes of his scores for the first 10 observations and the next 15 observations? A. 4 B. 7 C. 6 D. 1

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Sanju recorded his scores for the weekly math quizzes that he gave:

8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 6

What is the difference between the modes of his scores for the first 10 observations and the next 15 observations?

A. 4 B. 7

C. 6 D. 1