What are the minimum,first quartile,median,third
Quartile,and maximum of the data set?5
55,62,61,54,68,72,59,61,70.
What are the minimum, first quartile, median, third quartile, and maximum of the data set?
120, 150, 60, 70, 80, 50, 180, 70
Begin by putting the data in order from lowest to highest.
You will very easily find the minimum and maximum by looking at your list.
The median is the middle number. Find the middle of the data by counting.
There are different methods used to find quartiles. The easiest method to find the first quartile is to find the middle between the minimum and the median. Do this by counting. If you end up between 2 numbers take the average of those 2 numbers.
The 3rd quartile is found as the middle between the median and the maximum.
To find the minimum, first quartile, median, third quartile, and maximum of a data set, you need to first arrange the data in ascending order.
The data set you provided is: 5, 55, 62, 61, 54, 68, 72, 59, 61, 70.
Step 1: Arranging the data in ascending order:
5, 54, 55, 59, 61, 61, 62, 68, 70, 72.
Minimum: The minimum value is the smallest value in the data set, which is 5 in this case.
First Quartile (Q1): To find the first quartile, you need to find the median of the lower half of the data set. Since we have 10 numbers, the median will be the average of the 5th and 6th values. In this case, the first quartile (Q1) is (55 + 59)/2 = 57.
Median (Q2): The median is the middle value of the data set. Since we have 10 numbers, the median will be the average of the 5th and 6th values. In this case, the median is (61 + 61)/2 = 61.
Third Quartile (Q3): To find the third quartile, you need to find the median of the upper half of the data set. Again, since we have 10 numbers, the median will be the average of the 5th and 6th values. In this case, the third quartile (Q3) is (68 + 70)/2 = 69.
Maximum: The maximum value is the largest value in the data set, which is 72 in this case.
So, the minimum is 5, the first quartile (Q1) is 57, the median (Q2) is 61, the third quartile (Q3) is 69, and the maximum is 72.