Q. 9 A13.7( 3 Votes )

# The median of a given frequency distribution is found graphically with the help of

A. Frequency curve

B. Frequency polygon

C. Histogram

D. Ogive

Answer :

Frequency curve is a smooth *curve* which corresponds to the limiting case of a histogram computed for a *frequency* distribution of a continuous distribution as the number of data points becomes very large.

Frequency polygons are a graphical device for understanding the shapes of distributions. They serve the same purpose as histograms, but are especially helpful for comparing sets of data.

A *histogram* is an accurate representation of the distribution of numerical data. It is an estimate of the probability distribution of a continuous variable (quantitative variable).

An *ogive*, sometimes called a cumulative frequency polygon, is a type of frequency polygon that shows cumulative frequencies. *Ogives* do look similar to frequency polygons, which we saw earlier. The most important difference between them is that an *ogive* is a plot of cumulative values, whereas a frequency polygon is a plot of the values themselves.

⇒ Ogives can easily estimate median of a given frequency distribution since they are plots of given class and frequency and median can be estimated on x-axis.

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Let us find the median.

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West Bengal Board - Mathematics