A box plot is useful for displaying information on : A. outliers B.…

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A box plot is useful for displaying information on :

A. outliers B. correlation C. median D. autocovariance

Choose the correct answer from the options given below :

  1. A.

    A and B Only

  2. B.

    B and C Only

  3. C.

    A and C Only

  4. D.

    A, C and D Only

Attempted by 18 students.

Show answer & explanation

Correct answer: C

A box plot (box-and-whisker plot) is a graphical summary of a dataset's distribution: the box spans the first quartile (Q1) to the third quartile (Q3) with a line drawn at the median, while the whiskers extend to the most extreme values that still lie within 1.5× the interquartile range (IQR) of the quartiles — any point beyond that range is flagged as an outlier.

Applied here: a box plot draws the median as the line inside the box and marks points beyond the whiskers as individual outliers — so among the four listed items it directly displays both outliers and the median, and nothing else.

Checking why the other combinations do not fit:

  • A and B Only (outliers and correlation) — a box plot never displays correlation, since correlation measures the relationship between two variables, and a box plot summarises only one variable's distribution.

  • B and C Only (correlation and median) — the median part is correct, but correlation between variables still cannot be read off a box plot.

  • A, C and D Only (outliers, median and autocovariance) — outliers and the median are correctly shown, but autocovariance is a time-series measure plotted against lag, never inside a box plot.

So of the four items, a box plot displays only outliers and the median — A and C Only.

Explore the full course: Nta Ugc Net Paper 1

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