Three of these are wrong. Find the one that holds.
Exercise and reference answers
- Questions
- Question
- Three of these statements about range are false.
- Choices
- Item
- Maximum value minus minimum value
- Correct
- Yes
- Explanation
- Only the two extreme values enter it.
- Item
- It uses every observation
- Explanation
- It says nothing about a central tendency.
- Item
- It measures spread about the mean
- Explanation
- It is a measure of dispersion.
- Item
- It is a measure of central tendency
- Question
- Three of these statements about variance are false.
- Choices
- Item
- It averages squared deviations
- Correct
- Yes
- Explanation
- Squares are never negative.
- Item
- It can be negative
- Explanation
- It is the other way round.
- Item
- It is the root of the standard deviation
- Explanation
- That describes mean deviation instead.
- Item
- It averages absolute deviations
Explanation
Each trap swaps a measure of spread for a measure of centre, or inverts the variance relation. Source: syllabus Maths, Ch 13 Statistics.