Use the table to answer the question. Game Free Throws Made 1 4 2 14 3 5 4 7 5 19 6 15 7 6 What value, the mean or median, best describes the shape of the data set that contains the number of free throws made by the basketball team? Choose 1 for mean and 2 for median. (1 point) Skip to navigation
2 - median
The median best describes the shape of the data set because it is less affected by outliers, such as the very high free throws made in Game 5. The median would give a better representation of the typical number of free throws made by the team.
The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. What are the first and third quartiles?(1 point) First quartile = Third quartile =
To find the first quartile (Q1) and third quartile (Q3) of a data set, you first need to find the median (Q2) which is the middle value of the data set. For the given prime numbers, the median is the average of the 5th and 6th numbers, which are 11 and 13. Therefore, the median (Q2) is (11 + 13) / 2 = 12.
Q1 is the median of the lower half of the data set, which consists of the first 5 prime numbers: 2, 3, 5, 7, 11. The median of this set is the average of the 2nd and 3rd numbers, which are 3 and 5. Therefore, Q1 is (3 + 5) / 2 = 4.
Q3 is the median of the upper half of the data set, which consists of the last 5 prime numbers: 13, 17, 19, 23, 29. The median of this set is the average of the 2nd and 3rd numbers, which are 17 and 19. Therefore, Q3 is (17 + 19) / 2 = 18.
So, the first quartile (Q1) is 4 and the third quartile (Q3) is 18.