eTextbook and Media (c) What can we conclude from the five number summary about the location of the \( 35^{\text {th }} \) percentile? The \( 80^{\text {th }} \) percentile? The location of the \( 35^{\text {th }} \) percentile is between The location of the \( 80^{\text {th }} \) percentile is between eTextbook and Media

To determine the location of the \( 35^{\text{th}} \) and \( 80^{\text{th}} \) percentiles using the five-number summary, we first need to understand what the five-number summary consists of: 1. Minimum 2. First Quartile (Q1, \( 25^{\text{th}} \) percentile) 3. Median (Q2, \( 50^{\text{th}} \) percentile) 4. Third Quartile (Q3, \( 75^{\text{th}} \) percentile) 5. Maximum ### Step 1: Identify the Five-Number Summary Assuming we have the five-number summary values, let's denote them as follows: - Minimum = \( a \) - Q1 = \( b \) - Median = \( c \) - Q3 = \( d \) - Maximum = \( e \) ### Step 2: Determine the Location of the \( 35^{\text{th}} \) Percentile The \( 35^{\text{th}} \) percentile is between the first quartile (Q1) and the median (Q2). Since Q1 corresponds to the \( 25^{\text{th}} \) percentile and the median corresponds to the \( 50^{\text{th}} \) percentile, we can conclude that: - The \( 35^{\text{th}} \) percentile is between \( b \) (Q1) and \( c \) (Median). ### Step 3: Determine the Location of the \( 80^{\text{th}} \) Percentile The \( 80^{\text{th}} \) percentile is between the median (Q2) and the third quartile (Q3). Since the median corresponds to the \( 50^{\text{th}} \) percentile and Q3 corresponds to the \( 75^{\text{th}} \) percentile, we can conclude that: - The \( 80^{\text{th}} \) percentile is between \( c \) (Median) and \( d \) (Q3). ### Conclusion - The location of the \( 35^{\text{th}} \) percentile is between \( b \) and \( c \). - The location of the \( 80^{\text{th}} \) percentile is between \( c \) and \( d \). If you have specific values for the five-number summary, please provide them for a more precise conclusion.