Question

Match the following columns:

Column I	Column II
(a) The most frequent value in a data is known as ......	(p) standard deviation
(b) Which of the following cannot be determined graphically out of mean, mode and median?	(q) median
(c) An ogive is used to determine ......	(r) mean
(d) Out of mean, mode, median and standard deviation, which is not a measure of central tendency?	(s) mode

Answer 1

Column I	Column II
(a) The most frequent value in a data is known as ......	(s) mode
(b) Which of the following cannot be determined graphically out of mean, mode and median?	(r) mean
(c) An ogive is used to determine ......	(q) median
(d) Out of mean, mode, median and standard deviation, which is not a measure of central tendency?	(p) standard deviation

Explanation:

(a) → (s). The most frequent value is the mode.

(b) → (r). The mean cannot be determined precisely from the usual graphs (mode and median can be read/located graphically).

(c) → (q). An ogive (cumulative frequency curve) is used to find the median (by locating `N/2` on the y-axis and projecting to the x‑axis).

(d) → (p). Standard deviation is a measure of dispersion, not a measure of central tendency.

Short explanations:

Mode = Most frequent value, so (a) = mode.

Mean requires arithmetic averaging and is not directly obtainable from the typical frequency/ogive plots the way median or mode are, so (b) = mean.

Ogive = cumulative frequency curve; use it to read off the median at `N/2`.

Standard deviation measures spread (dispersion), so it is not a central‑tendency measure.