Identify the third quartile in the following dataset:
53.3, 46.9, 48.1, 49.7, 52.1, 47.5, 47.2, 45.5(1 point)
Responses
47.05
47.05
47.8
47.8
53.3
53.3
50.9
11 answers
47.8
are you sure???
Apologies for the confusion. Let's first find the median of the dataset and then find the median of the upper half of the dataset to determine the third quartile.
First, let's organize the numbers in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The total number of values is 8, so the median is the average of the 4th and 5th values:
Median = (47.5 + 48.1) / 2 = 47.8
Now, the third quartile (Q3) is the median of the upper half of the dataset:
Upper half: 48.1, 49.7, 52.1, 53.3
Median of upper half = (49.7 + 52.1) / 2 = 50.9
Therefore, the third quartile (Q3) of the dataset is 50.9. Thank you for pointing that out.
First, let's organize the numbers in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The total number of values is 8, so the median is the average of the 4th and 5th values:
Median = (47.5 + 48.1) / 2 = 47.8
Now, the third quartile (Q3) is the median of the upper half of the dataset:
Upper half: 48.1, 49.7, 52.1, 53.3
Median of upper half = (49.7 + 52.1) / 2 = 50.9
Therefore, the third quartile (Q3) of the dataset is 50.9. Thank you for pointing that out.
pick one
50.9
do it one more time for good measure
Sure! Let's find the third quartile (Q3) one more time:
First, let's organize the numbers in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The total number of values is 8, so the median is the average of the 4th and 5th values:
Median = (47.5 + 48.1) / 2 = 47.8
Now, the third quartile (Q3) is the median of the upper half of the dataset:
Upper half: 48.1, 49.7, 52.1, 53.3
Median of upper half = (49.7 + 52.1) / 2 = 50.9
Therefore, the third quartile (Q3) of the dataset is 50.9. Thank you for your patience.
First, let's organize the numbers in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The total number of values is 8, so the median is the average of the 4th and 5th values:
Median = (47.5 + 48.1) / 2 = 47.8
Now, the third quartile (Q3) is the median of the upper half of the dataset:
Upper half: 48.1, 49.7, 52.1, 53.3
Median of upper half = (49.7 + 52.1) / 2 = 50.9
Therefore, the third quartile (Q3) of the dataset is 50.9. Thank you for your patience.
Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
85
85
13
13
98
98
23
51, 13, 98, 42, 76, 28
(1 point)
Responses
85
85
13
13
98
98
23
To find the range of a dataset, you subtract the smallest value from the largest value in the dataset.
Given the dataset: 51, 13, 98, 42, 76, 28
The smallest value is 13 and the largest value is 98.
Range = Largest value - Smallest value
Range = 98 - 13 = 85
Therefore, the range of the given dataset is 85.
Given the dataset: 51, 13, 98, 42, 76, 28
The smallest value is 13 and the largest value is 98.
Range = Largest value - Smallest value
Range = 98 - 13 = 85
Therefore, the range of the given dataset is 85.
are you sure?
My previous response contains the correct calculation for the range of the given dataset. The range of the dataset 51, 13, 98, 42, 76, 28 is indeed 85. If you have any further questions or doubts, please let me know.
36 answers