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Question

The table shows the heights in a basketball team.

Height: 198, 199, 200, 201, 202

a.) Work out the mean height of the team. Round you answer to 1d.p.

That, I have worked out is 200.3

b.) A new player joins the team and raises the mean average height to 201cm. Work out the height of the new player.

Answer:

206 cm

Step-by-step explanation:

The sum of the fiven numbers, 198+199+200+201+202=1000

For a mean of 201, the product should be 201*6=1206

The difference of the two is equivalent to the height of the other person hence 1206-1000=206 cm

Therefore, the height is 206 cm

The height of the new player is 206 cm.

Mean

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Given

The height of the players is 198, 199, 200, 201, and 202.

Mean = 200

To find

The work out the height of the new player.

How to find out the work out the height of the new player?

The average is given by

[tex]\rm Average = \dfrac{sum\ of\ observation }{number\ of\ observation}[/tex]

A new player joins and raises the mean average height to 201 cm. Let the height is x, then

[tex]\begin{aligned} 201 &= \dfrac{198+199+200+201+202+x}{6}\\1206 &= 1000 + x\\x &= 206\\\end{aligned}[/tex]

The height of the new player is 206 cm.

More about the mean link is given below.

https://brainly.com/question/2426692