Question

The least occuring category in a data set can be found from/by -

• A. createing a frequency table
• B. the height of respective caterogy rectangle in a bar graph representation
• C. determing mode
• D. None of the above.

Answer 1

Answer: (A), (B)

the height of respective caterogy rectangle in a bar graph representation

Consider the following example: Hannah collected the data for types of birds that came into her garden for 20 minutes duration with the following notations:
Name of Birds Notation

Robin	R
Dove	D
Sparrow	S

Collected data set: $\left\{RDSSDDDRR\right\}$

Frequency table:
Type of Birds Frequency

R	3
D	4
S	2

Hence, the category corresponding to the least number of birds is Sparrow (S).

The bar graph representation is a follows:

We can observe that the height of the rectangle corresponding to Sparrow is the least. Hence, the least number of sparrows are present.

Mode is the most frequently occurring data.
Here, the mode is D, occurring 4 times.
Hence, it does not represent the required result.

$\therefore$ The correct options are (a) and (b).