True or false: reading an average from a report
Exercise and reference answers
- Questions
- Statement is true
- Yes
- Statement
- A high average can hide a very wide spread.
- Statement is true
- Yes
- Statement
- The range uses only the two extreme values.
- Statement is true
- No
- Statement
- The mean is unaffected by an extreme value.
- Statement is true
- Yes
- Statement
- The standard deviation uses every observation.
- Statement is true
- Yes
- Statement
- Standard deviation is the square root of the variance.
Explanation
An average without a spread hides a lot. Source: syllabus Maths, Ch 13 Statistics.