Question

Ages of players in Indian Hockey team are (in years) 29, 27, 33, 27, 31, 30, 28, 27,
25, 26, 25
(i) Find the mean and mode of the data.
(ii) Find the minimum number of players to be removed from the above team so
that mode of the data changes and what must

Answer 1

Answer:

(I) Mean =25+25+26+27+27+27+28+29+30+31+33/11=308/11=28

Step-by-step explanation:

Mode=27(ll)

Answer 2

Given :-

Ages of players in Indian Hockey team are (in years) 29, 27, 33, 27, 31, 30, 28, 27,  25, 26, 25

To Find :-

The mean and mode of the data.

The minimum number of players to be removed from the above team so  that mode of the data changes and what must be their ages.

Analysis :-

Using the formula of mean and mode find them accordingly.

Then find the minimum number of players to be removed.

Solution :-

By the formula,

$\underline{\boxed{\sf Mean=\dfrac{Sum \ of \ the \ terms}{Number \ of \ terms} }}$

Given that,

Ages of players in Indian Hockey team are (in years) 29, 27, 33, 27, 31, 30, 28, 27,  25, 26, 25

Substituting their values,

$\sf Mean=\dfrac{29+27+33+27+31+30+28+27+25+26+25}{11}$

$\sf Mean=\dfrac{308}{11} =28$

Therefore, the mean is 28.

Finding the mode,

The mode is the value that appears most often in a set of data values.

Here, 27 is repeated three times.

Therefore the mode is 27.

There are 2 player's with age 25 years. We need to add minimum 2 players with age 25. Then the mode will change to 25.

Therefore, 2 players of age 25 years each are required.

To Note :-

The mean is the average value of the numbers given.

Mean = Sum of the terms / Number of terms

The mode is the value that appears the most in a set of data values.