Objective
Calculate and interpret averages and range, including grouped estimates.
Calculator: Non-calculator core; calculator optional only for checking where labelled.
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.Recall
Retrieve the key fact or method needed for averages and spread.
Core practice
Five numbers have mean 12. Four are 8, 11, 13 and 15. Find the fifth and the range.
Reasoning
A data set has mean 10. One new value of 100 is added. Must the median increase?
Exam-style
Solve an exam-style problem involving averages and spread. Show working, include a check and interpret your answer.
Recall & Review: feedback and extension integration
Lesson L047: Averages and spread
Objective: Calculate and interpret averages and range, including grouped estimates.
60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.
What Went Well (WWW)
I selected an appropriate statistic or representation and supported my comparison or interpretation with specific evidence from the data.
Even Better If (EBI)
I will quote the relevant values or features, compare like with like and explain what the evidence shows without making an unsupported claim.
Stretch and deep challenge
Stretch: Five numbers have mean 12. Four are 8, 11, 13 and 15. Find the fifth and the range.
Deep challenge: A data set has mean 10. One new value of 100 is added. Must the median increase?