Question

Find the quartiles in each set of data

22,26,28,42,44,45,50
First quartile
Second quartile
Third quartile

Answer 1

Q1 =26

Q2=42

Q3=45

Explanation:

The Q2 is the median. in this case there are 7 numbers and the middle number is your median or your Q2.

Then you break up the line into 2 halves at the median.

22, 26, 28 (42) 44, 45, 50

⬆️ ⬆️ ⬆️

Q1 Q2 Q3

median

Your middle number or median of the first set is 26 and the median of the second set is 45

Hope that made sense.

Answer 2

To find the quartiles in the given set of data: 22, 26, 28, 42, 44, 45, 50, we need to sort the data in ascending order:

22, 26, 28, 42, 44, 45, 50

First, let's find the second quartile, which is also known as the median. In this case, since the data set has an odd number of values, the median is the middle value, which is 42.

Now, let's find the first quartile. The first quartile divides the data set into lower and upper halves. Since there are 7 values, the first quartile would be the median of the lower half. The lower half of the data set is: 22, 26, 28. The median of this lower half is (26 + 28) / 2 = 27.

Lastly, let's find the third quartile. The third quartile is the median of the upper half of the data set. The upper half is: 44, 45, 50. The median of this upper half is (44 + 45) / 2 = 44.5.

Therefore, the quartiles for the given data set are:
First quartile: 27
Second quartile (Median): 42
Third quartile: 44.5