Drag each tile to the correct box.
Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.







Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.

Drag each tile to the correct box Emma Sally and Olivia play for the school basketball team The dot plots show the number of points each of them scored in 20 ga class=

Respuesta :

Answer:

Emma ⇒ IQR = 3.5

Sally ⇒ IQR = 3

Olivia ⇒ IQR = 2.5

Emma - Sally - Olivia

Step-by-step explanation:

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

LQ = (9 + 9) ÷ 2 = 9

UQ = (12 + 13) ÷ 2 = 12.5

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

LQ = (7 + 8) ÷ 2 = 7.5

UQ = (10 + 11) ÷ 2 = 10.5

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

LQ = (7 + 8) ÷ 2 = 7.5

UQ = (10 + 10) ÷ 2 = 10

IQR = 10 - 7.5 = 2.5

Emma - Sally - Olivia

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Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;

Writing out each score on the dot plot to calculate the statistical values :

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

  • Q1 = 1/4(n+1)th term

Q1 = (5th + 6th) terms

Q1 = (9 + 9) / 2 = 9

  • Q3 = 3/4(n+)th term

Q3 = (12 + 13) ÷ 2 = 12.5

  • IQR = Q3 - Q1

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

  • Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

  • Q3 = 3/4(n+1)th term

Q3 = (10 + 11) ÷ 2 = 10.5

  • IQR = Q3 - Q1

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

  • Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

  • Q3 = 1/4(n+1)th term

Q3 = (10 + 10) ÷ 2 = 10

  • IQR = Q3 - Q1

IQR = 10 - 7.5 = 2.5

Therefore, ordering the IQR in descending order :

  • Emma, Sally, Olivia

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