Math Problem Statement

he Example 28 length (in cm) of the right foot for a group of 20 male and 20 female students in Year 9 are summarised in the following parallel boxplots. 15 20 25 30 35 40 Female Male Foot length (cm) a Complete the sentence by entering the values of the medians and choosing the correct alternative: ‘The foot length for males (median = cm) is (longer/shorter) than the foot length for females (median = cm)’. b Complete the sentence by entering the values of the IQR and choosing the correct alternative: ‘The foot length for males (IQR = cm) is (more variable/less variable/similar in variability) to the foot length for females (IQR = cm)’

Solution

To answer these questions based on the provided parallel boxplots, I would need the specific values for the medians and interquartile ranges (IQR) for both males and females. Since the boxplots themselves aren't visible in this text format, could you upload an image of the boxplots? This will allow me to accurately determine the medians and IQRs to complete the sentences.

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Math Problem Analysis

Mathematical Concepts

Statistics
Boxplots
Interquartile Range (IQR)
Median

Formulas

Median: Middle value of an ordered dataset
Interquartile Range (IQR) = Q3 - Q1

Theorems

Concept of central tendency
Concept of variability in statistics

Suitable Grade Level

Grade 9