Question

The distribution of qualitative variables is summarised as

• A. Mean and Standard deviation
• B. Median and Interquartile range
• C. Median and Percentage
• D. Frequency and Percentage

Hint:

For qualitative (categorical) data: \[ \text{Summary} = \text{Frequency Table} + \text{Percentages} \] For quantitative data: \[ \text{Summary} = \text{Mean, Median, Variance, Standard Deviation} \]

Answer 1

The Correct Option is D

Step 1: Understand qualitative data.
Qualitative data classify observations into categories. For example: \[ \text{Male},\ \text{Female} \] or \[ \text{Urban},\ \text{Rural} \]

Step 2: Determine appropriate summary measures.
For categorical data, we count how many observations belong to each category. This gives: \[ \text{Frequency} \] We may also express these frequencies as proportions or percentages. \[ \text{Percentage} = \frac{\text{Frequency}}{\text{Total}}\times100 \]

Step 3: Eliminate incorrect options.
Mean, median and standard deviation require numerical data. Therefore options (A), (B) and (C) are unsuitable for qualitative variables.

Step 4: Select the correct answer.
The distribution of qualitative variables is summarized using: \[ {\text{Frequency and Percentage}} \] Hence, \[ {\text{Option (D)}} \] is the correct answer.