Which measures of center does not change when a value of 0 is inserted into these datasets?
Dataset 1:
(12,19,18,12,19,14,12,28,22,10)
Dataset 2:
(12,19,18,12,19,14,12,28,22,10,0)
5 answers
The median and the mode do not change when a value of 0 is inserted into both datasets.
The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. What are the first and third quartiles?
To find the first and third quartiles, we need to divide the set of prime numbers into four equal parts.
The first quartile (Q1) represents the value below which 25% of the data falls. Since there are 10 prime numbers in total, the first quartile corresponds to the value in the 2.5th position. However, this position does not exist within the list of prime numbers, as it is between the second and third prime numbers. Therefore, we take the average of the values in the second and third positions to calculate Q1.
Q1 = (3 + 5) / 2 = 4
The third quartile (Q3) represents the value below which 75% of the data falls. The 75th percentile in this case falls between the 7th and 8th prime numbers. Thus, we take the average of 17 and 19 to find Q3.
Q3 = (17 + 19) / 2 = 18
Therefore, the first quartile (Q1) is 4 and the third quartile (Q3) is 18.
The first quartile (Q1) represents the value below which 25% of the data falls. Since there are 10 prime numbers in total, the first quartile corresponds to the value in the 2.5th position. However, this position does not exist within the list of prime numbers, as it is between the second and third prime numbers. Therefore, we take the average of the values in the second and third positions to calculate Q1.
Q1 = (3 + 5) / 2 = 4
The third quartile (Q3) represents the value below which 75% of the data falls. The 75th percentile in this case falls between the 7th and 8th prime numbers. Thus, we take the average of 17 and 19 to find Q3.
Q3 = (17 + 19) / 2 = 18
Therefore, the first quartile (Q1) is 4 and the third quartile (Q3) is 18.
What is the median of the box plot
To determine the median of the box plot, we need to find the median of the given set of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Since the set has an even number of values (10), the median is the average of the two middle values. In this case, the two middle values are the 5th and 6th numbers in the set, which are 11 and 13.
Median = (11 + 13) / 2 = 24 / 2 = 12
Therefore, the median of the box plot is 12.
Since the set has an even number of values (10), the median is the average of the two middle values. In this case, the two middle values are the 5th and 6th numbers in the set, which are 11 and 13.
Median = (11 + 13) / 2 = 24 / 2 = 12
Therefore, the median of the box plot is 12.