CAIE S2 2005 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2005
SessionJune
TopicMeasures of Location and Spread
TypeStandard unbiased estimates calculation

2 Jenny has to do a statistics project at school on how much pocket money, in dollars, is received by students in her year group. She plans to take a sample of 7 students from her year group, which contains 122 students.
  1. Give a suitable method of taking this sample. Her sample gives the following results. $$\begin{array} { l l l l l l l } 13.40 & 10.60 & 26.50 & 20.00 & 14.50 & 15.00 & 16.50 \end{array}$$
  2. Find unbiased estimates of the population mean and variance.
  3. Is the estimated population variance more than, less than or the same as the sample variance?
  4. Describe what you understand by 'population' in this question.