Typical 6th Grade Height

In math class 6+ we are trying to find the typical height for 6th graders in the Singapore American School. For this, everyone measured themselves so we can find our heights in inches. The heights of 6th graders range from 52 inches to 72 inches.

The question is: What is the typical height for a 6th grade student? I would use the median or Q2 in this specific set of data to find out the typical 6th grade height. This is because there are no huge outliers and not many gaps. Also, there is an especially large cluster in the middle of all this data. It is from 58 inches to 63 inches. All heights are pretty close. The median is 61 inches, therefore the typical height is 61 inches.
To find the median, the first step is to write out all the data in order from least to greatest. Second, you find the middle number. I did this by crossing out the end numbers until there was only one left, which is the median.

I don’t think the mode is appropriate in any situation.  For example, the mode only shows certain people and bases it off them. There might just be some unusually tall people in your class. However, with the median it shows the middle value of everyone.

I am 62 inches, so I am slightly taller than the typical height because the typical height is 61 inches. This means I am just slightly taller than the average height. The difference between my height and the typical height would be one inch.

I would say that the height of SAS 6th graders have low variability because the IQR is four. Four is a low number compared to a higher number like twenty. To find the IQR, you find the difference between Q1 and Q3. Low variability means that everything in the data is close together in value. Most of the sixth graders are between 58 and 63 inches tall, and this also shows low variability. In high variability, everything is usually more spread out. The data of S.A.S. 6th grade heights are more clumped.

Here are two ways I graphed the data:

Bar graph:  ↓
 

Line plot: ↑