The first quartile is the value that separates the lowest 25% of the data from the rest. To identify the first quartile in this dataset, we first need to arrange the data in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The median of the lower half of the data is between the 4th and 5th values (3 and 3), which are both equal. Therefore, the first quartile is 3.
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
2.5
2.5
0
0
6.5
6.5
4
7 answers
2.5
2.5
0
0
6.5
6.5
4
2.5
0
0
6.5
6.5
4
Apologies for the incorrect response earlier. The correct first quartile in the dataset provided is 2.5.
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
47.8
47.8
47.05
47.05
53.3
53.3
50.9
53.3, 46.9, 48.1, 49.7, 52.1, 47.5, 47.2, 45.5(1 point)
Responses
47.8
47.8
47.05
47.05
53.3
53.3
50.9
To identify the third quartile (Q3), which separates the highest 25% of the data from the rest, we first need to arrange the data in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The median of the upper half of the data is between the 4th and 5th values, which are 48.1 and 49.7. The average of these two values is (48.1 + 49.7) / 2 = 47.9. Therefore, the third quartile (Q3) is 47.9. However, 47.8 is the closest option provided, so we will select that as our answer.
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
The median of the upper half of the data is between the 4th and 5th values, which are 48.1 and 49.7. The average of these two values is (48.1 + 49.7) / 2 = 47.9. Therefore, the third quartile (Q3) is 47.9. However, 47.8 is the closest option provided, so we will select that as our answer.
Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
13
13
98
98
85
85
23
51, 13, 98, 42, 76, 28
(1 point)
Responses
13
13
98
98
85
85
23
The range of a dataset is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 13 and the maximum value is 98.
Range = Maximum Value - Minimum Value
Range = 98 - 13
Range = 85
Therefore, the range of the given dataset {51, 13, 98, 42, 76, 28} is 85.
Range = Maximum Value - Minimum Value
Range = 98 - 13
Range = 85
Therefore, the range of the given dataset {51, 13, 98, 42, 76, 28} is 85.