Identify the first quartile in the following dataset:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6(1 point)
Responses
0
0
6.5
6.5
2.5
2.5
4
Apologies for the confusion earlier. The third quartile in the given dataset is 50.9. I apologize for the incorrect response earlier.
The range of a data set is calculated by subtracting the smallest value from the largest value. In the given data set, the smallest value is 13 and the largest value is 98.
Range = 98 - 13 = 85
Therefore, the range of the given data set is 85.
Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
8
8
21.5
21.5
13.5
13.5
6.5
Apologies for the confusion. The correct option for the interquartile range of the given dataset is 6.5.
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
50.9
50.9
53.3
53.3
47.8
47.8
47.05
so is it
50.9
50.9
or
53.3
53.3
or
47.8
47.8
or
47.05
Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
98
98
23
23
13
13
85
not an option
e 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 14, 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 4.5.
The range is 14, and the interquartile range is 4.5.
The range is 5, and the interquartile range is 8.
The range is 5, and the interquartile range is 8.
The range is 14, and the interquartile range is 74.5.
To find the range of the given dataset, we need to subtract the smallest value from the largest value. In this case, the smallest value is 68 and the largest value is 82.
Range = 82 - 68 = 14
Therefore, the range of the dataset is 14.
To find the interquartile range, we need to first find the first quartile (Q1) and the third quartile (Q3) of the dataset.
Arranging the data in ascending order: 68, 70, 74, 75, 78, 82.
Q1 is the median of the lower half of the data. Since there are 6 data points, the median will be the average of the 3rd and 4th values.
The 3rd value is 74 and the 4th value is 75.
Average of 74 and 75 = (74 + 75) / 2 = 149 / 2 = 74.5.
Q3 is the median of the upper half of the data. Since there are 6 data points, the median will be the average of the 3rd and 4th values.
The 3rd value is 78 and the 4th value is 82.
Average of 78 and 82 = (78 + 82) / 2 = 160 / 2 = 80.
The interquartile range is calculated by subtracting Q1 from Q3.
Interquartile Range = Q3 - Q1 = 80 - 74.5 = 5.5.
Therefore, the range of the dataset is 14 and the interquartile range is 5.5.