Question

Race Times
Race Times
29 min.
31 min.
31 min.
34 min.
35 min.
37 min.
40 min.
42 min.
45 min.

Sarabeth used a box-and-whisker plot to summarize her race times in minutes. She didn't include her latest race time of 38 minutes. How will the inclusion of this new time affect the box-and-whisker plot?

A) The range will increase.
B) The median will increase.
C) The lower quartile will increase.
D) The upper quartile will increase.
Eliminate

Answer 1

Answer:

it's option b median will increase

Answer 2

Given :  Data of Race time  29 min. , 31 min. 31 min. 34 min. 35 min. 37 min.

40 min. 42 min. 45 min.  a new result of 38 mins added

To Find :  the impact on Race , median m lower quartile , upper Quartile

Solution:

29 , 31 , 31  , 34  , 35  , 37  , 40 , 42  , 45

9 Data point

Median = 35

Range = 45 - 29 = 16

Lower quartile = 31

upper Quartile = 40

38 min data added

29 , 31 , 31  , 34  , 35  , 37  , 38 , 40 , 42  , 45

10 Data point

Median = (35 + 37)/2 = 36

Range = 45 - 29 = 16

Lower quartile = 31

upper Quartile = 40

So median increased from 35 to 36

option B is correct

B) The median will increase.

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