consider the following box plot

Question

Consider the following box plot.

Which quarter has the smallest spread of data?

A.5−7

B.7−15    

C.15−17

D.17−18

What is that spread?

______

Which quarter has the largest spread of data?

A.5−7

B.7−15    

C.15−17

D.17−18

What is that spread?

______

Find the interquartile range (IQR).

______

Are there more data in the interval 9−15 or in the interval 15−18? How do you know this?

A. 9−15, because it contains exactly 50% of the data, while 15−18 contains less than 25% of the data.

B.9−15, because it contains more than 25% of the data, while 15−18 contains exactly 25% of the data.    

C.15−18, because it contains exactly 25% of the data, while 9−15 contains less than 25% of the data.

D.15−18, because it contains exactly 50% of the data, while 9−15 contains less than 25% of the data.

Which interval has the fewest data in it? How do you know this?

A.5−7, because it is the only interval to contain less than 25% of the data.

B.7−10, because it is the only interval to contain less than 25% of the data.    

C.15−17, because it contains exactly 25% of the data.

D.17−18, because it has the smallest spread.need more information

Answer 1

consider the following box plot

Consider the following box plot.

Which quarter has the smallest spread of data?

A.5−7

B.7−15    

C.15−17

D.17−18 <<< ANSWER (D)

What is that spread?

spread_D = 18 - 17 = 1

Which quarter has the largest spread of data?

A.5−7

B.7−15   <<< ANSWER (B)

C.15−17

D.17−18

What is that spread?

spread_B = 15 - 7 = 8

Find the interquartile range (IQR).

IQR = Q3 - Q1 = 17 - 7 = 10

Are there more data in the interval 9−15 or in the interval 15−18? How do you know this?

A. 9−15, because it contains exactly 50% of the data, while 15−18 contains less than 25% of the data.

B.9−15, because it contains more than 25% of the data, while 15−18 contains exactly 25% of the data.    

C.15−18, because it contains exactly 25% of the data, while 9−15 contains less than 25% of the data.

D.15−18, because it contains exactly 50% of the data, while 9−15 contains less than 25% of the data.    <<< ANSWER (D)

Which interval has the fewest data in it? How do you know this?

A.5−7, because it is the only interval to contain less than 25% of the data.

B.7−10, because it is the only interval to contain less than 25% of the data. <<< ANSWER (B)

C.15−17, because it contains exactly 25% of the data.

D.17−18, because it has the smallest spread.need more information