s The soccer coach claimed that, on average, only 80% of the team comes to practice each day. The table shows the number of
students that came to practice for 8 days. If the team has 20 members,
how many team members should come to practice to uphold the coach’s
claim? Was the coach’s claim accurate? Explain your reasoning.
To determine if the coach's claim is accurate, we need to compare the actual average attendance with the claimed average attendance of 80%. First, let's calculate the average attendance for the 8 days using the data in the table.
Day 1: 16 students came to practice
Day 2: 19 students came to practice
Day 3: 17 students came to practice
Day 4: 15 students came to practice
Day 5: 20 students came to practice
Day 6: 17 students came to practice
Day 7: 19 students came to practice
Day 8: 17 students came to practice
To find the average attendance, we sum up the number of students for each day and divide by the number of days:
Total number of students = 16 + 19 + 17 + 15 + 20 + 17 + 19 + 17 = 140
Average attendance = Total number of students / Number of days = 140 / 8 = 17.5
So, the average number of students attending practice over the 8 days is 17.5.
Now, let's check if this value is at least 80% of the total team members. We know that the team has 20 members, so we can calculate 80% of 20:
80% of 20 = 0.8 * 20 = 16
According to the coach's claim, on average, 16 team members should come to practice each day to uphold the claim.
Since the actual average attendance over the 8 days was 17.5, which is greater than the claimed 16, we can conclude that the coach's claim was accurate. The team has been meeting and even surpassing the coach's claimed average attendance of 80% by having an average attendance of 17.5 team members per day.
20 * 8 = 160 player days
0.80 * 160 = 128 player days
or an average of 16 players/day