Use the list below to find the lower quartile.
27, 5, 11, 13, 10, 8, 14, 18, 7
The median (Q2) is 11
Q1 is the median of the lower half, or 8
Q3 is the median of the upper half, or 14
u all so have to list the numbers from least to greatest to find the medain.😋
To find the lower quartile, you need to arrange the numbers in ascending order first. Here is the sorted list from smallest to largest: 5, 7, 8, 10, 11, 13, 14, 18, 27.
The lower quartile represents the value that separates the lowest 25% of the data from the rest of the data. To find the lower quartile, you can use the formula:
Lower Quartile = (n + 1) / 4th value
where n is the number of data points. In this case, n = 9.
We can calculate the lower quartile as follows:
Lower Quartile = (9 + 1) / 4 = 2.5
Since 2.5 is not an index corresponding to any value in the data set, we need to find the median of the two middle values, which in this case are the 2nd and 3rd values.
The 2nd value is 7 and the 3rd value is 8. To find the average of these two values, add them together and divide by 2:
(7 + 8) / 2 = 7.5
Therefore, the lower quartile for the given data set is 7.5.