CAIE S1 2018 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicMeasures of Location and Spread
TypeStandard combined mean and SD

4 Farfield Travel and Lacket Travel are two travel companies which arrange tours abroad. The numbers of holidays arranged in a certain week are recorded in the table below, together with the means and standard deviations of the prices.
Number of
holidays
Mean price
\((
) )\(
Standard
deviation \)( \\( )\)
Farfield Travel301500230
Lacket Travel212400160
  1. Calculate the mean price of all 51 holidays.
  2. The prices of individual holidays with Farfield Travel are denoted by \(
    ) x _ { F }\( and the prices of individual holidays with Lacket Travel are denoted by \)\\( x _ { L }\). By first finding \(\Sigma x _ { F } ^ { 2 }\) and \(\Sigma x _ { L } ^ { 2 }\), find the standard deviation of the prices of all 51 holidays.