Quick Answer: How Do I Find The Lower Quartile?

How do you find the upper and lower quartiles?

AnswersThe values in ascending order are: Median = (12th + first) ÷ 2.

Range = difference between the highest and lowest values.

= 57 – 1.

Lower quartile = value of middle of first half of data Q1 = the median of 1, 11, 15, 19, 20, 24.

Upper quartile = value of middle of second half of data Q3 …

Interquartile range = Q3–Q1.

How do I find the second quartile?

Add those 2 values, and then divide by 2. The median splits the data set into lower and upper halves and is the value of the second quartile Q2.

How do you find the 1st and 3rd quartile in Excel?

Quartile Function ExcelType your data into a single column. For example, type your data into cells A1 to A10.Click an empty cell somewhere on the sheet. For example, click cell B1.Type “=QUARTILE(A1:A10,1)” and then press “Enter”. This finds the first quartile. To find the third quartile, type “=QUARTILE(A1:A10,3)”.

Is the First Quartile the same as the 25th percentile?

The values that divide a rank-ordered set of data into 100 equal parts are called percentiles. … Quartiles divide data into quarters. The first quartile (Q1 ) is the 25th percentile, the second quartile (Q2 or median) is 50 th percentile, and the third quartile (Q3 ) is the the 75 th percentile.

How do I find the bottom quartile?

To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.

What is the lower quartile?

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 the formula of quartile?

In this case all the quartiles are between numbers: Quartile 1 (Q1) = (4+4)/2 = 4. Quartile 2 (Q2) = (10+11)/2 = 10.5. Quartile 3 (Q3) = (14+16)/2 = 15.

What does the first quartile represent?

The first quartile, denoted by Q1 , is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1 . The third quartile, denoted by Q3 , is the median of the upper half of the data set.

What do quartiles tell us?

Quartiles tell us about the spread of a data set by breaking the data set into quarters, just like the median breaks it in half. … This means that when we calculate the quartiles, we take the sum of the two scores around each quartile and then half them (hence Q1= (45 + 45) ÷ 2 = 45) .