To calculate the IQR, we first need to find the median of the dataset.
The dataset in ascending order is:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
The median is the middle value, which in this case is 3.0.
Next, we need to find the lower and upper quartiles. The lower quartile (Q1) is the median of the values to the left of the overall median, and the upper quartile (Q3) is the median of the values to the right of the overall median.
The values to the left of the median are:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5
Q1 = median of these values = 1.5
The values to the right of the median are:
3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
Q3 = median of these values = 4.75
Now, we can calculate the IQR:
IQR = Q3 - Q1 = 4.75 - 1.5 = 2.25
Therefore, the correct answer is:
The IQR is 2.25. This means that 2.25 hours is the range of the number of hours spent on the project for the middle 50% of the students.
Niran surveyed the students in his class on how many hours they spent on their project Here are the results:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
Which of the following is the IQR of the dataset and explains what the value means for this dataset?
(1 point)
Responses
The IQR is 2.75. This means that 2.75 hours is the range of the number of hours spent on the project for 50% of the students.
The IQR is 2.75. This means that 2.75 hours is the range of the number of hours spent on the project for 50% of the students.
The IQR is 2.5. This means that 2.5 hours is the range of the number of hours spent on the project for 50% of the students.
The IQR is 2.5. This means that 2.5 hours is the range of the number of hours spent on the project for 50% of the students.
The IQR is 2.5. This means that 2.5 hours is the range of the number of hours spent on the project for the middle 50% of the students.
The IQR is 2.5. This means that 2.5 hours is the range of the number of hours spent on the project for the middle 50% of the students.
The IQR is 2.75. This means that 2.75 hours is the range of the number of hours spent on the project for the middle 50% of the students.
The IQR is 2.75. This means that 2.75 hours is the range of the number of hours spent on the project for the middle 50% of the students. AND SHOW WORK
3 answers
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10 find Q1 and Q3
To find Q1 and Q3, we first need to find the median of the dataset.
The dataset in ascending order is:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
Since the dataset has 18 values, the median will be the average of the 9th and 10th values.
Median = (3.0 + 3.5) / 2 = 3.25
Next, we need to find the lower quartile (Q1) and upper quartile (Q3). Q1 is the median of the values that are below the overall median, and Q3 is the median of the values that are above the overall median.
Values below the median:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0
Q1 = Median of these values = 1.5
Values above the median:
3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
Q3 = Median of these values = 4.75
Therefore, Q1 is 1.5 and Q3 is 4.75.
The dataset in ascending order is:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
Since the dataset has 18 values, the median will be the average of the 9th and 10th values.
Median = (3.0 + 3.5) / 2 = 3.25
Next, we need to find the lower quartile (Q1) and upper quartile (Q3). Q1 is the median of the values that are below the overall median, and Q3 is the median of the values that are above the overall median.
Values below the median:
0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0
Q1 = Median of these values = 1.5
Values above the median:
3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
Q3 = Median of these values = 4.75
Therefore, Q1 is 1.5 and Q3 is 4.75.
1 answer