How Do I Find The Upper Quartile?

How do I find the first quartile?

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..

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

Quartiles are special percentiles. The first quartile, Q1 , is the same as the 25 th percentile, and the third quartile, Q3 , is the same as the 75 th percentile. The median, M , is called both the second quartile and the 50 th percentile.

How do you find the upper quartile and lower quartile?

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 you calculate the upper quartile?

To find the value of the upper quartile, multiply the lower quartile by 3 as. The lower quartile was the 2nd number in the list, so the upper quartile must be the 6th number in the list ( The interquartile range of the weights of these babies is 0.9 kg.

How do you find q1 and q3?

Q1 is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. (3, 5, 7, 8, 9), | (11, 15, 16, 20, 21). Q1 = 7 and Q3 = 16. Step 5: Subtract Q1 from Q3.

What is the formula for lower quartile?

If there are (4n+3) data points, then the lower quartile is 75% of the (n+1)th data value plus 25% of the (n+2)th data value; the upper quartile is 25% of the (3n+2)th data point plus 75% of the (3n+3)th data point.

Is the upper quartile the same as the third quartile?

A quartile divides data into three points—a lower quartile, median, and upper quartile—to form four groups of the dataset. … The second quartile, Q2, is also the median. The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

How do you find q1 with even numbers?

Q1 is the middle value in the first half of the data set. Since there are an even number of data points in the first half of the data set, the middle value is the average of the two middle values; that is, Q1 = (3 + 4)/2 or Q1 = 3.5.

What numbers represent the lower and upper quartiles?

The twenty-fifth percentile is called the first quartile (Q1)or the lower quartile and the seventy-fifth percentile is the third quartile (Q3) or upper quartile.

How do you find quartiles examples?

Find Quartiles: Examples Step 1: Put the numbers in order: 2, 5, 6, 7, 10, 12 13, 14, 16, 22, 45, 65. Step 2: Count how many numbers there are in your set and then divide by 4 to cut the list of numbers into quarters. There are 12 numbers in this set, so you would have 3 numbers in each quartile.

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) .