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
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
To find the third quartile in a dataset, we need to arrange the data in ascending order. The dataset in ascending order is:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The third quartile is the median of the upper half of the data. Since there are 8 data points in the upper half, the median will be the average of the 4th and 5th values.
The 4th value is 48.1 and the 5th value is 49.7.
Average of 48.1 and 49.7 = (48.1 + 49.7) / 2 = 97.8 / 2 = 48.9
Therefore, the third quartile in the given dataset is 48.9.
so is it
50.9
50.9
or
53.3
53.3
or
47.8
47.8
or
47.05
Apologies for the confusion earlier. The third quartile in the given dataset is 50.9. I apologize for the incorrect response earlier.
Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
98
98
23
23
13
13
85
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.
To find the interquartile range of a dataset, we first need to find the first quartile (Q1) and the third quartile (Q3).
Arranging the data in ascending order: 11, 13, 14, 15, 17, 21, 22, 27.
The first quartile (Q1) is the median of the lower half of the data. Since there are 8 data points, the median will be the average of the 4th and 5th values.
The 4th value is 15 and the 5th value is 17.
Average of 15 and 17 = (15 + 17) / 2 = 32 / 2 = 16.
The third quartile (Q3) is the median of the upper half of the data. Since there are 8 data points, the median will be the average of the 4th and 5th values.
The 4th value is 21 and the 5th value is 22.
Average of 21 and 22 = (21 + 22) / 2 = 43 / 2 = 21.5.
The interquartile range is calculated by subtracting Q1 from Q3.
Interquartile Range = Q3 - Q1 = 21.5 - 16 = 5.5.
Therefore, the interquartile range of the given dataset is 5.5.