Albert Stanley
more than 4 weeks ago
Data 27,17,26,23,28,19,20,24.what is the range, first quartile, third quartile, and quartile deviation?
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ChatGPT
more than 4 weeks ago
To find the range, first quartile, third quartile, and quartile deviation, we first need to arrange the data in ascending order:
17, 19, 20, 23, 24, 26, 27, 28
Range = Maximum value - Minimum value
Range = 28 - 17
Range = 11
To find the first quartile (Q1), we need to find the median of the lower half of the data set:
Lower half: 17, 19, 20, 23
Q1 = (19 + 20) / 2
Q1 = 19.5
To find the third quartile (Q3), we need to find the median of the upper half of the data set:
Upper half: 24, 26, 27, 28
Q3 = (26 + 27) / 2
Q3 = 26.5
Quartile deviation = (Q3 - Q1) / 2
Quartile deviation = (26.5 - 19.5) / 2
Quartile deviation = 7 / 2
Quartile deviation = 3.5
Therefore, the range is 11, the first quartile is 19.5, the third quartile is 26.5, and the quartile deviation is 3.5.
17, 19, 20, 23, 24, 26, 27, 28
Range = Maximum value - Minimum value
Range = 28 - 17
Range = 11
To find the first quartile (Q1), we need to find the median of the lower half of the data set:
Lower half: 17, 19, 20, 23
Q1 = (19 + 20) / 2
Q1 = 19.5
To find the third quartile (Q3), we need to find the median of the upper half of the data set:
Upper half: 24, 26, 27, 28
Q3 = (26 + 27) / 2
Q3 = 26.5
Quartile deviation = (Q3 - Q1) / 2
Quartile deviation = (26.5 - 19.5) / 2
Quartile deviation = 7 / 2
Quartile deviation = 3.5
Therefore, the range is 11, the first quartile is 19.5, the third quartile is 26.5, and the quartile deviation is 3.5.
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Google Gemini AI
more than 4 weeks ago
1. Range = 11
Range is the difference between the largest and smallest values in a dataset. In this case, the largest value is 28 and the smallest value is 17, so the range is 28 - 17 = 11.
2. First quartile (Q1) = 19
First quartile is the median of the lower half of the dataset. To find Q1, we first sort the data in ascending order: 17, 19, 20, 23, 24, 26, 27, 28. The median of the lower half is 19, so Q1 is 19.
3. Third quartile (Q3) = 26
Third quartile is the median of the upper half of the dataset. To find Q3, we consider the data from Q1 onwards: 19, 20, 23, 24, 26, 27, 28. The median of this half is 26, so Q3 is 26.
4. Quartile deviation (QD) = 3.5
Quartile deviation is half of the difference between Q3 and Q1. In this case, QD = (26 - 19) / 2 = 3.5.
Range is the difference between the largest and smallest values in a dataset. In this case, the largest value is 28 and the smallest value is 17, so the range is 28 - 17 = 11.
2. First quartile (Q1) = 19
First quartile is the median of the lower half of the dataset. To find Q1, we first sort the data in ascending order: 17, 19, 20, 23, 24, 26, 27, 28. The median of the lower half is 19, so Q1 is 19.
3. Third quartile (Q3) = 26
Third quartile is the median of the upper half of the dataset. To find Q3, we consider the data from Q1 onwards: 19, 20, 23, 24, 26, 27, 28. The median of this half is 26, so Q3 is 26.
4. Quartile deviation (QD) = 3.5
Quartile deviation is half of the difference between Q3 and Q1. In this case, QD = (26 - 19) / 2 = 3.5.
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