Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
98
13
85
23
The range of the given data set is 85.
To find the range, you need to subtract the smallest value from the largest value in the data set.
Largest value: 98
Smallest value: 13
Range = Largest value - Smallest value
Range = 98 - 13
Range = 85
Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
8
21.5
6.5
13.5
To find the interquartile range, you first need to find the median (Q2) of the dataset.
11, 13, 14, 15, 17, 21, 22, 27
Median (Q2) = 17
Next, you need to find the median (Q1) of the lower half of the dataset (values below 17):
11, 13, 14, 15
Q1 = 14
Finally, you need to find the median (Q3) of the upper half of the dataset (values above 17):
21, 22, 27
Q3 = 22
The interquartile range is the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 22 - 14
IQR = 8
Therefore, the interquartile range of the given dataset is 8.
The heights in inches of six basketball players at a local high school are given as a dataset.
70, 78, 74, 82, 68, 75
Find the range and the interquartile range of the dataset.
(1 point)
Responses
The range is 5, and the interquartile range is 8.
The range is 14, and the interquartile range is 8.
The range is 14, and the interquartile range is 74.5.
The range is 14, and the interquartile range is 4.5.
The range can be found by subtracting the smallest value from the largest value in the dataset:
Range = 82 - 68
Range = 14
To find the interquartile range, we first need to find the median (Q2) of the dataset:
68, 70, 74, 75, 78, 82
Median (Q2) = 74
Next, we find the median of the lower half of the dataset (values below 74):
68, 70, 74
Q1 = 70
Finally, we find the median of the upper half of the dataset (values above 74):
75, 78, 82
Q3 = 78
The interquartile range is the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 78 - 70
IQR = 8
Therefore, the range of the dataset is 14 and the interquartile range is 8.
The answer is: The range is 14, and the interquartile range is 8.
To find the range of a data set, you need to find the difference between the largest and smallest values.
In this case, the largest value is 98 and the smallest value is 13.
Therefore, the range of the given data set is 98 - 13 = 85.
Correct answer: 85
To find the range of a data set, you need to subtract the smallest value from the largest value.
First, let's sort the given data set in ascending order:
13, 28, 42, 51, 76, 98
The smallest value is 13, and the largest value is 98.
Now, subtract the smallest value from the largest value:
98 - 13 = 85
Therefore, the range of the given data set is 85.