CAIE IGCSE Mathematics Extended E9.3.2 Calculate an Estimate of the Mean for Grouped Discrete or Grouped Questions

Practise Extended CAIE IGCSE Mathematics by using class midpoints and frequencies to estimate grouped-data means with correct units and precision.

Exam points

Estimate the mean of grouped discrete or grouped continuous data using class midpoints and frequencies.
Calculate the weighted total of midpoint times frequency and divide by the total frequency.
Interpret an estimated grouped-data mean with appropriate units and sensible precision.

[Maximum number: 4]

The height, h cm, of each of 100 students is measured.
The table shows the results.
Calculate an estimate of the mean.

Table for Question CAIE IGCSE Mathematics Extended E9.3.2 Calculate an Estimate of the Mean for Grouped Discrete or Grouped Questions question 1 — CAIE IGCSE Mathematics Extended

160.375

M1 for mid-values for three of 125, 155, 162.5, 175.
M1 for $\Sigma fx$ , where x is in the correct interval including boundary.
M1 dep for $\frac{\sum fx}{100}$ , dep on second M1.

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CAIE IGCSE Mathematics Extended E9.3.2 Calculate an Estimate of the Mean for Grouped Discrete or Grouped Questions question 1