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Ages of players in a cricket team are $25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29$ .

Find the mean and mode of the data.

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Mean

= 28,

Mode

= 27

Mean

= 23,

Mode

= 32

Mean

= 30,

Mode

= 25

Mean

= 25,

Mode

= 36

answer is C.

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Detailed Solution

Given is the ages of players in a cricket team are

25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29

.
A mean of the data is represented by,

mean = \frac{\sum x_{i} f_{i}}{\sum f_{i}}

\Rightarrow mean = \frac{25 + 26 + 25 + 27 + 28 + 30 + 31 + 27 + 33 + 27 + 29}{11}

\Rightarrow mean = \frac{308}{11}

\Rightarrow mean = 28

Mode is the data which is repeated frequently, in this question

27

is repeated three times therefore, the mode is

27 .

Thus, the mean and mode of the given data will be 28 and 27 respectively.
Hence, the correct option is 3.

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Ages of players in a cricket team are 25,26,25,27,28,30,31,27,33,27,29.Find the mean and mode of the data.

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Ages of players in a cricket team are $25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29$ .

Find the mean and mode of the data.