Match each statistical data representation term on the left with its corresponding definit… — JAMB UTME

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 $\frac{\text{Frequency}}{\text{Total Frequency}} \times 360^\circ$ .
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.

Answer

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

\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.

Step-by-Step Solution

Define Class Boundary

Class boundary is the continuous point midway between adjacent class limits.

Class boundaries remove gaps in discrete grouped frequency distributions.

Define Sector Angle formula for a pie chart

Sector Angle

= \frac{\text{Frequency}}{\text{Total Frequency}} \times 360^\circ

The complete circle represents total frequency, so individual sectors scale proportionally with

360^\circ

Define Frequency Density for histograms

Frequency Density

= \frac{\text{Frequency}}{\text{Class Width}}

Histogram area equals frequency; when widths differ, height must represent frequency per unit width.

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.

Key Concept

Data Representation Terms and Formulas

Estimated Time:1m 30s

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