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The table above shows the frequency distribution of the heights of 80

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The table above shows the frequency distribution of the heights of 80 [#permalink]

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The table above shows the frequency distribution of the heights of 80 students. What is the least possible range of the heights of the 80 students?

A. 15
B. 16
C. 20
D. 24
E. 28

[Reveal] Spoiler:
Attachment:
test.jpg
test.jpg [ 76 KiB | Viewed 795 times ]
[Reveal] Spoiler: OA

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Re: The table above shows the frequency distribution of the heights of 80 [#permalink]

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New post 29 Oct 2017, 08:42
Bunuel wrote:
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The table above shows the frequency distribution of the heights of 80 students. What is the least possible range of the heights of the 80 students?

A. 15
B. 16
C. 20
D. 24
E. 28

[Reveal] Spoiler:
Attachment:
test.jpg




hi..

since we are looking for LEAST possible range of heights, we can play around with hihest and lowest ranges given..

so let all in range 140-144 have height at higher end that is 144
and all in range 160-164 have height at lower end that is 160
so range overall = 160-144 = 16

B
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Re: The table above shows the frequency distribution of the heights of 80 [#permalink]

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New post 29 Oct 2017, 08:46
Least possible range = Minimum of Largest - Maximum of smallest = 160 - 144 = 16
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Re: The table above shows the frequency distribution of the heights of 80 [#permalink]

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New post 29 Oct 2017, 15:26
chetan2u wrote:
Bunuel wrote:
Image
The table above shows the frequency distribution of the heights of 80 students. What is the least possible range of the heights of the 80 students?

A. 15
B. 16
C. 20
D. 24
E. 28

[Reveal] Spoiler:
Attachment:
test.jpg




hi..

since we are looking for LEAST possible range of heights, we can play around with hihest and lowest ranges given..

so let all in range 140-144 have height at higher end that is 144
and all in range 160-164 have height at lower end that is 160
so range overall = 160-144 = 16

B


I need one explanation. If we take 160 and 144 then we lose data from the table. So, Is it correct to chose then as range.

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Re: The table above shows the frequency distribution of the heights of 80 [#permalink]

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New post 30 Oct 2017, 20:30
Bunuel wrote:
Image
The table above shows the frequency distribution of the heights of 80 students. What is the least possible range of the heights of the 80 students?

A. 15
B. 16
C. 20
D. 24
E. 28

[Reveal] Spoiler:
Attachment:
test.jpg


To minimize the range of heights, the students in group 140-144 should have a height of 144 and in group 160-164 should have a height of 160 cm.
So range = 160 - 144 = 16

Answer B
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Re: The table above shows the frequency distribution of the heights of 80 [#permalink]

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New post 31 Oct 2017, 06:17
Should be B. Difference between Highest of 1st row and lowest of last row

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Re: The table above shows the frequency distribution of the heights of 80   [#permalink] 31 Oct 2017, 06:17
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The table above shows the frequency distribution of the heights of 80

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