A random sample of the scores received by five students in a class is taken. The scores received are $84, 92, 74, 98, and 82$ . Assuming this to be a symmetric distribution, what will the mean and $M A D$ of the data?

86, 7.2

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82, 9.6

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84, 17.2

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98, 2.8

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Solution

The correct option is A $86, 7.2$
$Mean = \frac{Sum of all scores}{Total number of scores} = \frac{84 + 92 + 74 + 98 + 82}{5} = \frac{430}{5} = 86$

$MAD = \frac{Sum of all absolute deviations}{Total number of scores} = \frac{(86 - 84) + (92 - 86) + (86 - 74) + (98 - 86) + (86 - 82)}{5} = 7.2$

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Question 3
The scores (out of 100) obtained by 33 students in a mathematics test are as follows.
69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69.
Represent this data in the form of a frequency distribution.

Q. The test scores of a student in 5 subjects are given. The scores are 60, 78, 82, 73, 67. If a new score is added, the new mean will become 74. What will be the new score?

Q. In a class of 25 students, the teacher distributed the evaluated answer scripts for an exam. After receiving the score, Tintin exclaimed ' My score is the most common score in this class'. Hearing this, Popeye replied ' That may be true but there are as many people who scored higher than me as there are people who scored lower than me. Which of the following can you conclude from the above statements?

Q. The scores (out of

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33

students in a mathematics test are as follows:

69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69

Represent this data in the form of a frequency distribution.

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A random sample of the scores received by five students in a class is taken. The scores received are 84,92,74,98, and 82. Assuming this to be a symmetric distribution, what will the mean and MAD of the data?

The correct option is A 86,7.2Mean=Sum of all scoresTotal number of scores=84+92+74+98+825=4305=86 MAD=Sum of all absolute deviationsTotal number of scores=(86−84)+(92−86)+(86−74)+(98−86)+(86−82)5=7.2

A random sample of the scores received by five students in a class is taken. The scores received are $84, 92, 74, 98, and 82$ . Assuming this to be a symmetric distribution, what will the mean and $M A D$ of the data?

The correct option is A $86, 7.2$
$Mean = \frac{Sum of all scores}{Total number of scores} = \frac{84 + 92 + 74 + 98 + 82}{5} = \frac{430}{5} = 86$

$MAD = \frac{Sum of all absolute deviations}{Total number of scores} = \frac{(86 - 84) + (92 - 86) + (86 - 74) + (98 - 86) + (86 - 82)}{5} = 7.2$