Question

Given a set of data that is skewed-left, there is at least _____ % of the data within 2 standard deviations.

Fill in the blank with the best answer:

• 0
• 68
• 75
• 89
• 95
• 99.7

Answer 1

Since the data is skewed left, one should not really make use of standard devadevia to comment on the proportion of data being contained in 2 std deviation.

For a normal population, 95% of the data lies between two standard deviations. However for a skewed distribution, there can be more than 95% as well as less than 95% data between 2 std deviations. Closest answer here can be 75% because 68% is contained in 1 std deviation from mean. Here, for two std deviations, 75% data is neither too less nor too much to be considered.