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A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?

Sagot :

Answer:

23

Step-by-step explanation:

The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23

What is the Interquartile range?

An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.

The formula to calculate interquartile range is:

IQR = Q₃ - Q₁

where;

Q₃ is third quartile

Q₁ is first quartile

The given points when arranged in increasing order gives us:

13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27

Q₁ is the (n + 1)/4 terms = 3rd term.

Thus; Q₁ = 17

Q₃ is 3(n + 1)/4 term = 9th term.

Thus; Q₃ = 24

Then; IQR = 24 - 17

IQR = 7

The desired interquartile range should decrease by 1 point. Thus;

Desired IQR = 7 - 1 = 6.

To find the score of the 12th game, let us try  23 points as the score of the 12th game:

Thus;

Q₁ = 17.5

Q₃ = 23.5

IQR = 23.5 - 17.5

IQR = 6

Thus, required number of points is 23.

Read more about Interquartile Range at; https://brainly.com/question/3859769

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