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# Estimating mean and median in data displays

Estimating mean and median in data displays.

## Want to join the conversation?

• I am so confused. How did Sal get 16th Data Point in B!
• If you try to solve the example yourself you'll realise that A is the 12.5th data point and B is the 17.5th data point

Upon averaging the values (of the data points) you'll get 15, which is close to 16 (the solution); considering that Sal and we all estimate you can consider this to be accurate if observed from the terms of estimation.
• wouldn't the mean be around 29 if you actually calculate it?
• I believe it will be around 2.8 ( divide 31 by 11 which is the total number of bars)
• I don't know how to do any of this the videos don't make any sense at all
• Can someone explain to me with toddler-level explanation on how to think of it intuitively?
• In brief, the mean is a value that is nonresistant to extreme values/significant outliers, meaning that it would severely fluctuate if a new extreme value is introduced to the data. In contrast, the median is somewhat resistant to extreme values, as explained in the video. (Mean would experience more change than median when an extreme value is introduced)

These concepts are relatively difficult to grasp when we're just starting to learn about statistics, but eventually it'll come to you with a snap of your fingers!
• At about minutes into the video, Sal mentioned, 16th highest and lowest data point. what did he mean by this?
• I have recalculated the first example and received another answer. Let me show my thoughts.
We have 31 different marks and we want to know "mean" of these marks.
Mean = (2marks which are zero(0)+ 1mark*1+2*2+1*3+1*4+1*5+1*6+2*7+2*8+5*9+13*10)/31 = 7.3
What actually is one step to the left.
Correct me where I am wrong.
• The explanation is a bit technical, but hopefully you can follow.

The mean has to be a value between 0 and 10.
So, the mean sits on a segment of the number line, and that segment has length 10.

Now, because our histogram has 11 columns, we divide that segment into 11 equal parts.
That means that each part has a length of 10∕11.

As you mentioned, the mean is approximately 7.35, and we need
7.35∕(10∕11) ≈ 8.09 of these smaller parts to reach a total length of 7.35

So the mean sits on the 9th of the 11 parts, or in the 9th column, i.e. column A.
• This video is so confusing it doesn't make sense to me at all is there an easier way to explain this?