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Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?

A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.

2 Answers

6 votes

Final answer:

To determine which statement is true, compare the measures of central tendency for the two teams, including the mean, median, and first quartile (Q1).

Step-by-step explanation:

To determine which statement is true, we need to compare the measures of central tendency for the two teams. The mean is the average value of a set of numbers, the median is the middle value when the numbers are arranged in ascending order, and the first quartile (Q1) is the value below which 25% of the data fall.

  1. Calculate the mean for both teams by summing all the ages and dividing by the number of players. Compare the two means to determine if the mean for team 1 is greater than the mean for team 2.
  2. Arrange the ages of each team in ascending order and find the middle value. Compare the two medians to determine if the median for team 1 is greater than the median for team 2.
  3. Find the first quartile (Q1) for each team by finding the value below which 25% of the data fall. Compare the two Q1 values to determine if the value of Q1 for team 1 is greater than the value of Q1 for team 2.

Based on these comparisons, you can determine which statement is true.

User Adam Gibson
by
3.3k points
4 votes

Answer:

B

Step-by-step explanation:

User Davidmh
by
3.8k points