You received scores of 70, 40, 70, 90, and 40. Find the first quartile.
I don't even know what a quartile is.
Arrange those scores in numerical order.
40, 40, 70, 70, 90
The first quartile is lowest 1/4 of the scores.
Check these sites for more information.
http://www.investopedia.com/terms/q/quartile.asp
http://www.mathwords.com/f/first_quartile.htm
Okay, so the first quartile would be 40, right?
Right.
No problem! I'm here to help. In statistics, quartiles are values that divide a dataset into four equal parts. The first quartile (Q1) is the value below which 25% of the data falls.
To find the first quartile, you need to follow these steps:
1. First, sort the dataset in ascending order: 40, 40, 70, 70, 90.
2. Determine the position of Q1 using the formula: n/4, where n is the total number of data points. In this case, n = 5, so Q1 is located at position 5/4 = 1.25.
3. Since the position is not an integer, we need to interpolate to find the corresponding value. Interpolation means finding a value between two known values. In this case, we can interpolate between the two values at positions 1 and 2.
4. The value at position 1 is 40, and the value at position 2 is 40. Interpolating, we take the average: (40 + 40) / 2 = 40.
5. Therefore, the first quartile (Q1) for the given dataset is 40.
So, in summary, to find the first quartile, you need to sort the data, calculate the position, and interpolate between the closest values.