With the observation of frequency polygon which of the following can be found out

a mode
b median
c mean
d standard deviation

Question

With the observation of frequency polygon, which of the following can be found out?

(A) Mode
(B) Median
(C) Mean
(D) Standard deviation

Damian Jennings · Answer

A frequency polygon is a graphical representation used to visualize the distribution of a dataset, similar to a histogram. It is useful for identifying the shape of the distribution and for comparing different datasets. From the observation of a frequency polygon, you can deduce some information visually, but exact values like the mean, median, mode, and standard deviation cannot be directly obtained without further calculations or data.

Mode (A): You can get an idea about the mode from a frequency polygon since it represents the most frequent value in the dataset. The mode corresponds to the peak of the polygon, so it can be estimated visually.
Median (B): The median cannot be directly observed from a frequency polygon. It requires cumulative frequencies to determine the middle value.
Mean (C): The mean is not directly observable from a frequency polygon. You would need the actual data values and frequencies to calculate it.
Standard Deviation (D): The standard deviation, which measures the dispersion of the dataset, also cannot be directly determined from a frequency polygon.

Therefore, option (A) Mode is the characteristic you can most closely estimate from the observation of a frequency polygon.

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