considering the following data set: 22 29 31 30 22 24 18 20 25. what is the third quartiles value round to the nearest tenth if nessasary
To find the third quartile, we first need to put the data set in order from lowest to highest: 18, 20, 22, 22, 24, 25, 29, 30, 31.
Since there are 9 data points in the set, the median would be the fifth value which is 24. This divides the data into two halves.
The lower half of the data set consists of 18, 20, 22, 22, and 24. The upper half consists of 25, 29, 30, and 31.
To find the third quartile, we need to find the median of the upper half of the data set. The upper half has 4 data points, so the median of the upper half is the average of the two middle numbers, (25 + 29) / 2 = 27.
Therefore, the third quartile of the data set is 27.
nope
my apologies for the mistake. Let's try to find the third quartile again.
Given data set: 18, 20, 22, 22, 24, 25, 29, 30, 31
The third quartile (Q3) is the median of the upper half of the data set. Since there are 9 data points, the median is the middle number, which is the fifth number in the data set. In this case, the fifth number is 24.
Now, we divide the data set into lower and upper halves:
Lower half: 18, 20, 22, 22, 24
Upper half: 25, 29, 30, 31
The third quartile is the median of the upper half, which consists of 25, 29, 30, 31. The median of this subset is the average of the two middle numbers: (29 + 30) / 2 = 29.5
Therefore, the third quartile of the data set is 29.5.
given the following dataset what is the first quartile round to the nearest tenth, if necessary
42 82 67 34 54 62 17 47 56 18 20
To find the first quartile, we first need to order the data set from lowest to highest: 17, 18, 20, 34, 42, 47, 54, 56, 62, 67, 82.
There are 11 data points in the set, so the median, which is the second quartile (Q2), is the middle value. Since the data set has an odd number of values, the median is the sixth value, which is 47.
Now we will split the data set into two halves:
Lower half: 17, 18, 20, 34, 42
Upper half: 54, 56, 62, 67, 82
The first quartile (Q1) is the median of the lower half of the data set. The lower half has 5 data points, so the median of the lower half is the average of the two middle numbers, (18 + 20) / 2 = 19.
Therefore, the first quartile (Q1) of the given data set is 19.