Eway Rural Potal Cleve Brat. Hieady Understand Statistical Questions - Quiz = Levelf Sarmuel collects data to ans wer the follewing questlon: How many minutes cach day do schoel band membere practice their instruments on thelr ewn? Which data set did Samuel most likely collect to answer the question? \( 100,150,210,115,145,230,125,200 \) \( 4,6,5,8,5,7,8,2 \) \( 20,15,30,20,30,45,60,60 \) \( 75,75,75,75,75,75,75,75 \)

\[ \textbf{Step 1: Understand the Question} \] Samuel is asking, “How many minutes each day do school band members practice their instruments on their own?” This indicates that each data point should represent a time duration in minutes. \[ \textbf{Step 2: Analyze Each Data Set} \] 1. **Data set 1:** \(\{100,150,210,115,145,230,125,200\}\) - These numbers represent longer durations (in minutes). While they are in minutes, values like 210 or 230 minutes (over 3 hours) seem unusually high for daily self-practice by school band members. 2. **Data set 2:** \(\{4,6,5,8,5,7,8,2\}\) - These numbers are very small and do not appear to represent minutes unless converted, which does not match the context of typical daily practice routines. 3. **Data set 3:** \(\{20,15,30,20,30,45,60,60\}\) - These numbers are in a reasonable range for minutes. Values like 15, 20, 30, 45, and 60 minutes are common durations for practicing an instrument. 4. **Data set 4:** \(\{75,75,75,75,75,75,75,75\}\) - This set consists of a single constant value (75 minutes) for every band member, which is unlikely because individual practice times typically vary. \[ \textbf{Step 3: Select the Most Appropriate Data Set} \] Since the question is asking for the number of minutes each day that the band members practice and we expect variation in practice times, the data set that fits best is the one with a reasonable range of minutes. This matches data set 3. \[ \textbf{Final Answer:} \] \[ \{20,15,30,20,30,45,60,60\} \]