Question

In the data set below, what are the lower quartile, the median, and the upper quartile?

1 2 2 4 4 6
lower quartile =

median =

upper quartile =

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the lower quartile, median, and upper quartile, we first need to arrange the data set in ascending order:

1 2 2 4 4 6

Now, let's find the median:
Since there are 6 numbers in the dataset, the median is the average of the two middle numbers. In this case, the two middle numbers are 2 and 4. So, the median is (2 + 4) / 2 = 3.

Now, let's find the lower quartile (Q1) and upper quartile (Q3):
Lower Quartile (Q1): 25th percentile
Upper Quartile (Q3): 75th percentile

To find these values, we need to divide the data set into two halves:
1 2 2 | 4 4 6

- To find Q1: The lower half of the data set is 1, 2, 2. The median of this lower half is 2.

- To find Q3: The upper half of the data set is 4, 4, 6. The median of this upper half is 4.

So,
Lower quartile (Q1) = 2
Median = 3
Upper quartile (Q3) = 4