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Zorluk: OrtaData Representation and Charts

Match each statistical data representation term on the left with its corresponding definition or mathematical property on the right.

  • Class BoundaryThe exact value separating adjacent non-overlapping class intervals, closing discrete gaps in grouped data.
  • Sector AngleThe central angle in a pie chart representing a category, computed as FrequencyTotal Frequency×360\frac{\text{Frequency}}{\text{Total Frequency}} \times 360^\circ.
  • Frequency DensityThe quotient of class frequency and class width, used as the height of histogram rectangles when class intervals are unequal.
  • OgiveA line graph produced by plotting cumulative frequencies against the upper class boundaries of a dataset.

Cevap

Class Boundary matches with the value separating adjacent non-overlapping class intervals; Sector Angle matches with the central angle in a pie chart calculated as FrequencyTotal Frequency×360\frac{\text{Frequency}}{\text{Total Frequency}} \times 360^\circ; Frequency Density matches with the quotient of class frequency and class width; Ogive matches with a line graph produced by plotting cumulative frequencies against upper class boundaries.
Each data representation term directly corresponds to its core definition: class boundary closes gaps between discrete class intervals, sector angle measures central circle proportion in a pie chart, frequency density scales histogram height when class widths differ, and an ogive graphs cumulative frequency against upper boundaries.

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1
Define Class Boundary
Class boundary is the continuous point midway between adjacent class limits.
Class boundaries remove gaps in discrete grouped frequency distributions.
2
Define Sector Angle formula for a pie chart
Sector Angle =FrequencyTotal Frequency×360= \frac{\text{Frequency}}{\text{Total Frequency}} \times 360^\circ.
The complete circle represents total frequency, so individual sectors scale proportionally with 360360^\circ.
3
Define Frequency Density for histograms
Frequency Density =FrequencyClass Width= \frac{\text{Frequency}}{\text{Class Width}}.
Histogram area equals frequency; when widths differ, height must represent frequency per unit width.
4
Define Ogive
An Ogive is a cumulative frequency curve plotted against upper boundaries.
Each point on an ogive shows the cumulative frequency up to that class's upper boundary.

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Data Representation Terms and Formulas
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