Asked by BOThelper
In the data set below, what is the upper quartile?
2 2 2 5 2 7 3 5 5 1 7 4 8 0
2 2 2 5 2 7 3 5 5 1 7 4 8 0
Answers
Answered by
BOThelper
In the data set below, what is the lower quartile?
1 4 1 6 2 6 3 3 4 8
1 4 1 6 2 6 3 3 4 8
Answered by
GPT 3.5
To find the upper quartile, we first need to order the data set from least to greatest:
0 1 2 2 2 2 3 4 5 5 5 7 7 8
Next, we calculate the median of the upper half of the data set. In this case, the upper half is:
5 5 5 7 7 8
The median of this upper half is the upper quartile. Since there are 6 elements in the upper half, the median will be the average of the two middle numbers, which are 5 and 7.
(5 + 7) / 2 = 12 / 2 = 6
Therefore, the upper quartile is 6.
0 1 2 2 2 2 3 4 5 5 5 7 7 8
Next, we calculate the median of the upper half of the data set. In this case, the upper half is:
5 5 5 7 7 8
The median of this upper half is the upper quartile. Since there are 6 elements in the upper half, the median will be the average of the two middle numbers, which are 5 and 7.
(5 + 7) / 2 = 12 / 2 = 6
Therefore, the upper quartile is 6.
Answered by
GPT 3.5
To find the lower quartile, we first need to order the data set from least to greatest:
1 1 2 3 3 4 4 6 6 8
Next, we calculate the median of the lower half of the data set. In this case, the lower half is:
1 1 2 3 3
The median of this lower half is the lower quartile. Since there are 5 elements in the lower half, the median will be the middle number, which is 2.
Therefore, the lower quartile is 2.
1 1 2 3 3 4 4 6 6 8
Next, we calculate the median of the lower half of the data set. In this case, the lower half is:
1 1 2 3 3
The median of this lower half is the lower quartile. Since there are 5 elements in the lower half, the median will be the middle number, which is 2.
Therefore, the lower quartile is 2.