Find the quartiles for the given dataset. 35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70

Answer 1

To find the quartiles, first put the data in ascending order:
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70

There are 13 values in the dataset, so the median is the middle value, which in this case is the 7th value. The 7th value is 50.

Now we will find the lower quartile (Q1) and upper quartile (Q3).

To find Q1, we need to find the median of the lower half of the data set: 35, 40, 40, 45, 45, 50.

Q1 = (40 + 45) / 2 = 42.5

To find Q3, we need to find the median of the upper half of the data set: 55, 60, 60, 65, 70.

Q3 = (60 + 65) / 2 = 62.5

Therefore, the quartiles for the given dataset are:
Q1 = 42.5
Q2 = 50
Q3 = 62.5

Answer 2

no

Answer 3

I apologize for the mistake in my previous response. Let's find the quartiles for the dataset again.

Given dataset: 35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70

Step 1: Arrange the data in ascending order:
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70

Step 2: Calculate the median (Q2, which is also the second quartile):
Median (Q2) = (n + 1) / 2 = (13 + 1) / 2 = 14 / 2 = 7th value in the sorted dataset = 50

Step 3: Calculate Q1 (the first quartile):
Since there are an even number of values, Q1 is the median of the lower half of the data set:
Lower half: 35, 40, 40, 45, 45
Q1 = Median of lower half = (40 + 40) / 2 = 40

Step 4: Calculate Q3 (the third quartile):
Q3 is the median of the upper half of the data set:
Upper half: 55, 60, 60, 65, 70
Q3 = Median of upper half = (60 + 60) / 2 = 60

Therefore, the quartiles for the given dataset are:
Q1 = 40
Q2 = 50
Q3 = 60