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The heights of the presidents of the US, in whole centimeter

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huda
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The heights of the presidents of the US, in whole centimeter [#permalink] New post   22 Jan 2020, 08:11
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Screenshot from 2020-01-22 22-10-17.png
Screenshot from 2020-01-22 22-10-17.png [ 21.2 KiB | Viewed 3016 times ]

(Data attribution: https://en.wikipedia.org/wiki/Heights_o ... ted_States)

The heights of the presidents of the US, in whole centimeters, are grouped into intervals as shown in the table above. Based only on the data in the table, which of the following could be the median height of the US presidents?

Select all that apply:

[A] 191
[B] 186
[C] 182
[D] 179
[E] 175
[F] 169
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B,C
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Re: The heights of the presidents of the US, in whole centimeter [#permalink] New post   23 Jan 2020, 01:11
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Solution:

Total number of presidents = 1 + 9 + 11 + 14 + 9 = 44
Thus, the median value will be = average of the 44/2 = 22nd president and the 23rd president
Performing the cumulative frequency table (shown in the image attached):
Note: Ideally we should have made a continuous table for the heights by changing the intervals to:
159.5 to 166.5
166.5 to 173.5
173.5 to 180.5
180.5 to 187.5
187.5 to 193.5

However, there is no issue even if we keep the table as given.

We have:
Median value = average of heights between 181 and 187
Thus, the median value must lie between 181 and 187, i.e. only Options B and C are possible

Answer B, C
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File comment: The cumulative frequency table is shown:
11.JPG
11.JPG [ 21.62 KiB | Viewed 2923 times ]

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Re: The heights of the presidents of the US, in whole centimeter [#permalink] New post   25 Mar 2023, 09:36
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