Question

1. time taken to complete an online task

under 30s
over 30s
use the box and whisker plots above to answer the following questions.
a) what is the median of the under 30s data?
b) what percent of data for the over 30s data is below 16?
c) what is the interquartile range (iqr) for the under 30s data?

Explanation:

Step1: Identify Under 30s median

In a box plot, the median is the middle line of the box. For Under 30s, this line aligns with 18.

Step2: Find % below Over 30s Q1

In a box plot, the first quartile (Q1) marks the 25th percentile. For Over 30s, Q1 is 16, so 25% of data is below this value.

Step3: Calculate Under 30s IQR

IQR = Third Quartile (Q3) - First Quartile (Q1). For Under 30s, Q3=20, Q1=12.
$\text{IQR} = 20 - 12 = 8$

Answer:

A) 18
B) 25%
C) 8