All flashcards topics

Averages and spreadIB MYP Maths Standard: Flashcards

What these 15 flashcards ask

  • How do you find the mean?
  • How do you find the median?
  • What is the mode?
  • How do you find the range?
  • What does the range measure?
  • Mean from a frequency table?
  • In a frequency table, what is the mode?
  • Median with 20 values?
  • How do you estimate the mean of grouped data?
  • Why is the mean of grouped data only an estimate?
  • What is the modal class?
  • Which average is best when there is an outlier?
  • Which average can be used for categorical data?
  • What two things should you compare for two data sets?
  • What does a smaller range tell you?

Exam questions on Averages and spread

  1. The ages, in years, of seven members of a chess club are 12, 15, 13, 12, 40, 14 and 12.
    Explain which average best represents the typical age of the members.2 marks
  2. A football team's goals scored per match over 20 matches: 0 goals in 4 matches, 1 goal in 6 matches, 2 goals in 5 matches, 3 goals in 3 matches and 4 goals in 2 matches.
    Find the mean number of goals per match.2 marks
  3. The heights of 40 plants are recorded in a grouped frequency table. In centimetres, 4 plants are in the class 0 ≤ h < 10, 10 plants in 10 ≤ h < 20, 15 plants in 20 ≤ h < 30, 8 plants in 30 ≤ h < 40 and 3 plants in 40 ≤ h < 50.
    Write down the modal class. Show that the median height lies in the class 20≤h<3020\leq h<30.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).