Examkin

Question

Difficulty: MediumData Representation and Charts

Match each statistical chart term or parameter in Column A with its corresponding definition or formula in Column B.

  • Class boundaryThe exact continuous limit of a class interval obtained by closing gaps between discrete class limits
  • Frequency densityThe quotient of class frequency and class width, used to determine bar height in histograms with unequal intervals
  • Cumulative frequencyThe running total of frequencies up to the upper boundary of a class interval, plotted on an ogive
  • Pie chart sector angleThe central angle calculated as Class FrequencyTotal Frequency×360∘\frac{\text{Class Frequency}}{\text{Total Frequency}} \times 360^\circ

Answer

Class boundary matches the exact continuous limit of a class interval; Frequency density matches the quotient of class frequency and class width; Cumulative frequency matches the running total of frequencies plotted on an ogive; Pie chart sector angle matches the central angle formula involving multiplication by 360 degrees.
Each chart parameter in Column A directly corresponds to its standard mathematical definition, formula, or geometric representation in Column B.

Step-by-Step Solution

1
Identify the statistical definition for continuous class intervals in histograms.
Class boundaries remove gaps between non-overlapping class limits.
Histograms require continuous real class boundaries on the horizontal axis.
2
Recall the formula for histogram bar height when class intervals vary.
Frequency density = FrequencyClass Width\frac{\text{Frequency}}{\text{Class Width}}.
Bar area must remain proportional to frequency.
3
Determine the parameter used to plot an ogive curve.
Cumulative frequency tracks accumulated totals across upper class boundaries.
An ogive represents cumulative distribution.
4
Identify the angular calculation for circular charts.
Sector angle = Class FrequencyTotal Frequency×360∘\frac{\text{Class Frequency}}{\text{Total Frequency}} \times 360^\circ.
A complete pie chart represents 360 degrees.

Key Concept

Data Representation and Chart Properties
Rate this question

Topics

Data Representation and Charts

More questions from this topic