What is the lower quartile example?

The lower quartile is the mean of the values of the data point of rank 6 ÷ 2 = 3 and the data points of rank (6 ÷ 2) + 1 = 4. The result is (15 + 36) ÷ 2 = 25.5. The upper quartile is the mean of the values of data point of rank 6 + 3 = 9 and the data point of rank 6 + 4 = 10, which is (43 + 47) ÷ 2 = 45.

What does bottom quartile mean?

The lower quartile, or first quartile, is denoted as Q1 and is the middle number that falls between the smallest value of the dataset and the median. The second quartile, Q2, is also the median.

What is an example of a quartile?

Example: 1, 3, 3, 4, 5, 6, 6, 7, 8, 8. And the result is: Quartile 1 (Q1) = 3. Quartile 2 (Q2) = 5.5.

How is quartile calculated?

The quartile formula helps to divide a set of observations into 4 equal parts. The first quartile lies in the middle of the first term and the median. The median is the second quartile. Second Quartile(Q2) = ((n + 1)/2)th Term.

What is the first quartile?

The first quartile Q1 is the median of the lower half not including the value of Q2. The third quartile Q3 is the median of the upper half not including the value of Q2.

What do you call the difference between 3rd quartile and 1st quartile?

The difference between the first and third quartiles, called the interquartile range, shows how the data is arranged about the median. A small interquartile range indicates data that is clumped about the median. A larger interquartile range shows that the data is more spread out.

What is N in quartile formula?

Upper Quartile Definition and Formula The upper quartile is the median of the upper half of a data set. This formula does not give the value of Q3, rather the term number that will be Q3. N represents the number of elements in the data set. For example, if there are 9 elements in the data set, n = 9.

How do you calculate quartiles?

How to Calculate Quartiles

1. Order your data set from lowest to highest values.
2. Find the median. This is the second quartile Q2.
3. At Q2 split the ordered data set into two halves.
4. The lower quartile Q1 is the median of the lower half of the data.
5. The upper quartile Q3 is the median of the upper half of the data.

What’s the difference between upper and lower quartile values?

If there are an even number of data points in the original ordered data set, split this data set exactly in half. The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

Which is the lowest quartile of a data set?

A quartile divides data into three points – a lower quartile, median, and upper quartile – to form four groups of the data set. The lower quartile or first quartile is denoted as Q1, and is the middle number that falls between the smallest value of the data set and the median. The second quartile, Q2, is also the median.

Which is the correct definition of the word quartile?

From this you can conclude that the word quartile refers to one of the four groups that is created by listing the data in increasing order and then dividing the data into four groups of equal size. Which indicates that these are the quartiles: So which is it? Are there 3 quartiles or 4?

How many quartiles are in the bottom 25%?

The bottom 25% of those prices would represent the lower quartile of the data. There would be two quartiles in between the upper and lower quartiles. The average of all the stock prices typically falls right in the middle, between the second and third quartiles.