Find the following landmarks for 12,16,23,15,16,19,18
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http://missleemath.blogspot.com/2008/10/data-landmarks.html
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find the following landmarks for this set to numbers 12,16,23,15,16,19,18
To find the landmarks for the given set of numbers: 12, 16, 23, 15, 16, 19, 18, we need to determine the minimum, first quartile, median, third quartile, and maximum.
Step 1: Arrange the numbers in ascending order:
12, 15, 16, 16, 18, 19, 23
Step 2: Find the minimum and maximum values:
Minimum: 12
Maximum: 23
Step 3: Calculate the first quartile (Q1):
Q1 represents the data point below which 25% of the data fall. In this case, we need to find the median of the first half of the data set:
12, 15, 16
Q1 = (15 + 16) / 2 = 15.5
Step 4: Calculate the median (Q2):
The median is the middle value of the data set. Since we have an odd number of data points, the median is the middle number:
Median = 16
Step 5: Calculate the third quartile (Q3):
Q3 represents the data point below which 75% of the data fall. In this case, we need to find the median of the second half of the data set:
18, 19, 23
Q3 = (19 + 23) / 2 = 21
So, the landmarks for the given data set are:
Minimum (Min): 12
First Quartile (Q1): 15.5
Median (Q2): 16
Third Quartile (Q3): 21
Maximum (Max): 23
To find the landmarks for a given set of data, you need to arrange the numbers in ascending order (from smallest to largest) and then perform a few calculations.
The given set of numbers is: 12, 16, 23, 15, 16, 19, 18.
Step 1: Arrange the numbers in ascending order:
12, 15, 16, 16, 18, 19, 23.
Step 2: Find the minimum and maximum values:
The minimum value is 12.
The maximum value is 23.
Step 3: Calculate the median:
The median is the middle value in a set of numbers when they are arranged in ascending order. Since the set has an odd number of values, the median is the middle value, which is 16.
Step 4: Calculate the first quartile (Q1):
The first quartile, or Q1, is the median of the lower half of the data. In this case, the lower half is 12, 15, and 16. Arrange these values in ascending order: 12, 15, 16. The median of these numbers is the first quartile, which is 15.
Step 5: Calculate the third quartile (Q3):
The third quartile, or Q3, is the median of the upper half of the data. In this case, the upper half is 18, 19, and 23. Arrange these values in ascending order: 18, 19, 23. The median of these numbers is the third quartile, which is 19.
Step 6: Find the interquartile range (IQR):
The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, IQR = Q3 - Q1 = 19 - 15 = 4.
Therefore, the landmarks for the given set of numbers are:
Minimum: 12
First Quartile (Q1): 15
Median: 16
Third Quartile (Q3): 19
Maximum: 23
Interquartile Range (IQR): 4