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Bimodal and Trimodal Data

Two players p...

Question

Two players played $7$ games and their scores are given as follows:

What are the modal scores of Sam and Andrew?

For Sam:

85, 89

For Andrew:

78

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For Sam:

75

For Andrew:

78

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For Sam:

123

For Andrew:

111

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For Sam:

75, 123

For Andrew:

78, 111

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Solution

The correct option is A For Sam: $85, 89$
For Andrew: $78$
Concept: The mode of a given data set is the value or term that occurs most frequently in the data set. It can have more then value, i.e., it can be bimodal or trimodal.

Arrange the given data in ascending order to observe the most frequently occuring scores for Sam and Andrew. The repeated values are highlighted as follows:

Thus, for Sam there are two values that occur for the most number of times.
Hence, the modal score of Sam is bimodal with values $85$ and $89$ .

In case of Andrew, $78$ occurs most frequently, thus the modal score of Andrew is $78$ .

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Directions: Answer the questions based on the information given below.
During the recent India- Australia bilateral 7 one-day international matches series Dhawan, Rohit and Kohli were in tremendous form and combinedly scored 7 centuries in these 7 games. Further, it is also known about their scores in the series:
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Directions: Answer the questions based on the information given below.
During the recent India- Australia bilateral 7 one-day international matches series Dhawan, Rohit and Kohli were in tremendous form and combinedly scored 7 centuries in these 7 games. Further, it is also known about their scores in the series:
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2. Each of these three players scored at least one century and no two batsmen scored an equal number of centuries.
3. Rohit did not score a century in the 2nd game and Kohli scored a century in the last game.
4. Dhawan did not score a century in the 1st and 4th game.
5 The player who scored a century in the 2nd game did not score a century in the 5th game.
6. The player who scored a century in the 4th game also scored a century in the 6th game.
7. The player who scored a century in the 3rd game did not score a century in the 1st game.
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Two players played 7 games and their scores are given as follows: What are the modal scores of Sam and Andrew?

Two players played $7$ games and their scores are given as follows:

What are the modal scores of Sam and Andrew?