Fill in the blank.
Blank is the non-metallic element that makes up all living things.
Carbon is the non-metallic element that makes up all living things.
The average temperatures in December in Washington, D.C., from 1993 to 1998 are given as a dataset.
38.1, 44.2, 35.6, 43.0, 41.0, 44.4
Find the interquartile range of the dataset.
(1 point)
The interquartile range of the dataset is
a
.
The interquartile range (IQR) is a measure of statistical dispersion, which represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
To find the IQR of the given dataset:
Step 1: Sort the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {35.6, 38.1}:
Q1 = (35.6 + 38.1) / 2 = 36.85 (rounded to two decimal places)
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {43.0, 44.2, 44.4}:
Q3 = (43.0 + 44.2 + 44.4) / 3 = 43.867 (rounded to three decimal places)
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 43.867 - 36.85 = 7.017 (rounded to three decimal places)
Therefore, the interquartile range (IQR) of the given dataset is approximately 7.017.
thats not the write answer
Apologies for the incorrect response. Let's recalculate the interquartile range (IQR) of the given dataset.
Step 1: Sort the data in ascending order:
35.6, 38.1, 41.0, 43.0, 44.2, 44.4
Step 2: Calculate Q1, which is the median of the lower half of the dataset. In this case, the lower half is {35.6, 38.1, 41.0}:
Q1 = 38.1
Step 3: Calculate Q3, which is the median of the upper half of the dataset. In this case, the upper half is {43.0, 44.2, 44.4}:
Q3 = 44.2
Step 4: Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 44.2 - 38.1 = 6.1
Therefore, the interquartile range (IQR) of the given dataset is 6.1.
Measures of Variation Quick Check
1 of 51 of 5 Items
Question
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
6.5
6.5
0
0
2.5
2.5
4
To identify the first quartile in the given dataset:
Step 1: Sort the data in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
Step 2: Since there are 16 numbers in the dataset, the first quartile (Q1) will be the median of the lower half. In this case, the lower half is the first 8 numbers:
0, 1, 2, 2, 3, 3, 3, 4
Step 3: Calculate the median of the lower half by taking the average of the middle two numbers:
((2 + 3) / 2) = 2.5
Therefore, the first quartile (Q1) in the given dataset 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
47.05
47.05
47.8
47.8
50.9
50.9
53.3
To identify the third quartile in the given dataset:
Step 1: Sort the data in ascending order:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
Step 2: Since there are 8 numbers in the dataset, the third quartile (Q3) will be the median of the upper half. In this case, the upper half is the last 4 numbers:
49.7, 52.1, 53.3
Step 3: Calculate the median of the upper half by taking the average of the middle two numbers:
((49.7 + 52.1) / 2) = 50.9
Therefore, the third quartile (Q3) in the given dataset is 50.9.
Find the range of the given data set.
51, 13, 98, 42, 76, 28
(1 point)
Responses
23
23
13
13
98
98
85