OCR MEI S1 2006 June — Question 1

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2006
SessionJune
TopicMeasures of Location and Spread
TypeVertical line chart construction

1 Every day, George attempts the quiz in a national newspaper. The quiz always consists of 7 questions. In the first 25 days of January, the numbers of questions George answers correctly each day are summarised in the table below.
Number correct1234567
Frequency1233475
  1. Draw a vertical line chart to illustrate the data.
  2. State the type of skewness shown by your diagram.
  3. Calculate the mean and the mean squared deviation of the data.
  4. How many correct answers would George need to average over the next 6 days if he is to achieve an average of 5 correct answers for all 31 days of January?