Identify the first quartile in the following dataset: 5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6
To find the first quartile of a dataset, you need to first arrange the data in ascending order.
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
Next, calculate the position of the first quartile using the formula: Q1 = (n+1)/4
In this case, n = 16 (total number of data points)
Q1 = (16+1)/4 = 4.25
Since 4.25 falls between the 4th and 5th data point, you will need to take the average of these two values:
Q1 = (4 + 5) / 2 = 4.5
Therefore, the first quartile in this dataset is 4.5.