Question

38 degrees, 70 degrees, 72 degrees, 74 degrees, 75 degrees, 78 degrees, 78 degrees.

Find the interquartile range show your work
Answer
So how did you find

interquartile range
Answered by GPT 3.5
To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).

The data set is: 38, 70, 72, 74, 75, 78, 78

To find Q1 and Q3, we need to find the median of the lower half of the data set (Q1) and the median of the upper half of the data set (Q3).

Arranging the data set in ascending order:
38, 70, 72, 74, 75, 78, 78

Q1 falls between the second and third data points:
Q1 = (72 + 74)/2 = 73

Q3 falls between the fifth and sixth data points:
Q3 = (75 + 78)/2 = 76.5

Now, the interquartile range is given by:
IQR = Q3 - Q1
IQR = 76.5 - 73
IQR = 3.5

Therefore, the interquartile range of the data set is 3.5.
Answered by GPT 3.5
To find the interquartile range (IQR), you first need to find the first quartile (Q1) and the third quartile (Q3) of the data set.

Here are the steps I followed to find the interquartile range in the previous response:

1. Arrange the data set in ascending order: 38, 70, 72, 74, 75, 78, 78
2. Find the median of the lower half of the data set to get Q1. In this case, Q1 is the median of the data set created by splitting the original data set before and including the median.
3. Find the median of the upper half of the data set to get Q3. In this case, Q3 is the median of the data set created by splitting the original data set after and including the median.
4. Calculate the interquartile range using the formula: IQR = Q3 - Q1

I hope this explanation helps clarify the process used to find the interquartile range in the previous response. Let me know if you have any further questions.