AI generatedStatisticsGCSE Higher / IGCSE Extended

Estimating frequency within part of a class

Estimating frequency within part of a class.

  • Partial frequency = width of the required part × frequency density.
  • Split a range at every class boundary and add the separate areas.
  • This is an estimate assuming values are evenly spread within each class.

Example 1

Estimate the number of observations with .

Histogram: bar area represents frequency123456510152025300Frequency densityTime (minutes)
First partial frequencyUse the width of the requested portion, not the whole class width.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 5 observations. The exact individual values are unknown.
Histogram: bar area represents frequency123456510152025300Frequency densityTime (minutes)

Example 2

Estimate the number of observations with .

Histogram: bar area represents frequency1234565101520253035400Frequency densityMass (g)
First partial frequencyUse the width of the requested portion, not the whole class width.
Second partial frequencyWhen a range crosses a boundary, calculate each part with its own density.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 35 observations. The exact individual values are unknown.
Histogram: bar area represents frequency1234565101520253035400Frequency densityMass (g)

Your turn

Question 1

Estimate the number of observations with .

Histogram: bar area represents frequency2468101210203040506070800Frequency densityLength (cm)
Check answer
First partial frequencyUse the width of the requested portion, not the whole class width.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 60 observations. The exact individual values are unknown.
Histogram: bar area represents frequency2468101210203040506070800Frequency densityLength (cm)
Question 2

Estimate the number of observations with .

Histogram: bar area represents frequency12345675101520253035400Frequency densityTime (minutes)
Check answer
First partial frequencyUse the width of the requested portion, not the whole class width.
Second partial frequencyWhen a range crosses a boundary, calculate each part with its own density.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 40 observations. The exact individual values are unknown.
Histogram: bar area represents frequency12345675101520253035400Frequency densityTime (minutes)
Question 3

Estimate the number of observations with .

Histogram: bar area represents frequency1234567510152025300Frequency densityMass (g)
Check answer
First partial frequencyUse the width of the requested portion, not the whole class width.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 30 observations. The exact individual values are unknown.
Histogram: bar area represents frequency1234567510152025300Frequency densityMass (g)
Question 4

Estimate the number of observations with .

Histogram: bar area represents frequency246810121410203040506070800Frequency densityLength (cm)
Check answer
First partial frequencyUse the width of the requested portion, not the whole class width.
Second partial frequencyWhen a range crosses a boundary, calculate each part with its own density.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 110 observations. The exact individual values are unknown.
Histogram: bar area represents frequency246810121410203040506070800Frequency densityLength (cm)
Question 5

Estimate the number of observations with .

Histogram: bar area represents frequency123456785101520253035400Frequency densityTime (minutes)
Check answer
First partial frequencyUse the width of the requested portion, not the whole class width.
Estimated frequencyAdd the relevant areas. Assume values are evenly spread within each class.
Approximately 5 observations. The exact individual values are unknown.
Histogram: bar area represents frequency123456785101520253035400Frequency densityTime (minutes)