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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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New post 29 Oct 2017, 07:28
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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

Attachment:
test.jpg
test.jpg [ 76 KiB | Viewed 3935 times ]

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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, 07:42
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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

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, 07:46
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, 14:26
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

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, 19:30
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

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, 05:17
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]

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New post 22 Aug 2018, 12:21
If anyone could please explain me, what does the statement "range of heights" mean?
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The table above shows the frequency distribution of the heights of 80  [#permalink]

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New post 25 Aug 2018, 07:19
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priyamba wrote:
If anyone could please explain me, what does the statement "range of heights" mean?


Hi priyamba,

Note:
1) Range of a discrete data set=maximum value-Minimum value.
2) Range of the numbers in a group of data is the greatest number in the group minus the least number in the group.

Here "Range of heights" implies the difference between maximum and minimum height of the grouped data.
Here we have to find out the minimum of the above difference value. We can't exclude any interval of data sets or heights.

From the frequency distribution table:-
The highest value of height varies from 160-164
The lowest value of height varies from 140-144

Minimum possible range of height=minimum value of height in the interval 160-164 - maximum value of height in the interval 140-144=160-144=16

For more clarity, we may assume that all the 6 students in the interval 140-144 have height of 144.And all the 4 students in the interval 160-164 have height of 160.This is assumed in order to have a minimum difference between max height and min height.By this way,we converted the grouped data to a discrete data set. Now the least possible range of heights= maximum height-minimum height =160-144=16

Hope it helps.
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The table above shows the frequency distribution of the heights of 80 &nbs [#permalink] 25 Aug 2018, 07:19
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