QTB – May 2017 – L1 – SA – Q11 – Data Collection and Analysis – Knowsia

QTB – May 2017 – L1 – SA – Q11 – Data Collection and Analysis

This question calculates the first quartile age from an age distribution table of artisans.

Question

If the age distribution of the artisans in a tobacco company is tabulated as follows:

Artisan’s age (years)	Number of Artisans
20 and under 25	3
25 and under 30	14
30 and under 35	18
35 and under 40	11
40 and under 45	3
45 and under 50	1

Then the first quartile age is:
A. 28.38 years
B. 28.39 years
C. 28.93 years
D. 29.38 years
E. 29.93 years

Answer

Answer: B. 28.39 years

Explanation:
To find the first quartile (Q1), we use the formula:

Where:

$L_{q} = 25$ (the lower boundary of the quartile class)
$n = 50$ (total number of artisans)
$F = 3$ (cumulative frequency before the quartile class)
$f_{q} = 14$ (frequency of the quartile class)
$C = 5$ (class width)

Substituting the values:

Thus, the first quartile age is 28.39 years, corresponding to option B.

Tags: Age Distribution, Frequency Distribution, Quartile Calculation
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

Uploader: Kwame Aikins

online

Knowsia AI Assistant

Knowsia AI Assistant