Thinking about shapes of distributions  Data and statistics  6th grade  Khan Academy  Summary and Q&A
TL;DR
Different shapes of distributions can be described using terms like righttailed, lefttailed, symmetrical, skewed to the right, and skewed to the left.
Questions & Answers
Q: What does it mean for a distribution to be righttailed?
A righttailed distribution means that the distribution has a tail to the right, indicating fewer values as the variable increases. It is not symmetrical and might have values concentrated on the lower end.
Q: How do you determine if a distribution is approximately symmetrical?
In an approximately symmetrical distribution, if a line of symmetry is drawn, the two sides would roughly match each other. Folding the distribution along the line of symmetry would align the two sides.
Q: What is the difference between a lefttailed distribution and a distribution skewed to the left?
A lefttailed distribution has a tail going towards the left side, indicating fewer values as the variable decreases. A distribution skewed to the left means that the mean is to the left of the median and mode, or the tail is concentrated on the left side.
Q: How can a box and whiskers plot be used to describe the shape of a distribution?
A box and whiskers plot provides information about quartiles and the median of a distribution. By analyzing the plot, one can make inferences about the shape of the distribution. For example, a longer whisker on the left side may indicate a tail to the left.
Summary & Key Takeaways

The video explores how to describe the shapes of distributions using terms like righttailed, lefttailed, symmetrical, skewed to the right, and skewed to the left.

The speaker uses examples of histograms and box plots to illustrate different shapes of distributions and how they can be described.

The concept of symmetry in distributions is discussed, with the example of a symmetrical distribution having a line of symmetry where both sides are mirror images of each other.