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17 May 2021, 03:45
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The above table indicates the height category for the 300 students at Benjamin Junior High School. If M is the median height of the students at the school, which of the following is true?
A. 4≤M<4.5
B. 4.5≤M<5
C. 5≤M<5.3
D. 5.3≤M<5.5
E. 5.5≤M<6
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19 May 2021, 00:14
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The median of an ordered set of values divides the given data set into two equal halves. It is a positional value and depends on the total number of values in the data set.
We have been told that the table provides information about the heights of 300 students. Therefore,
Median height = \(\frac{150th value + 151st value }{ 2}\).
Careful observation of the table tells us that both these values are found in the interval 4.5≤H<5.
Therefore, the average of these two values should also lie in the same interval, since the average always lies in between the least and the highest values. So, the range for the median is 4.5≤M<5.
The correct answer option is B, IMHO.
Hope that helps!
Aravind B T
We have been told that the table provides information about the heights of 300 students. Therefore,
Median height = \(\frac{150th value + 151st value }{ 2}\).
Careful observation of the table tells us that both these values are found in the interval 4.5≤H<5.
Therefore, the average of these two values should also lie in the same interval, since the average always lies in between the least and the highest values. So, the range for the median is 4.5≤M<5.
The correct answer option is B, IMHO.
Hope that helps!
Aravind B T
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