how to find the five number summary

A five-number summary simply consists of the smallest data value, the first quartile, the median, the third quartile, and the largest data value. A box plot is a graphical device based on a five-number summary.

What is the 5 number summary on box plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

How do you figure out 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).

What is Q2 in 5 number summary?

The second quartile, Q2, is defined to be the median of the data. The first quartile, Q1, is defined to be the median of the lower half of the data. The third quartile, Q3, is similarly defined to be the median of the upper half of the data.

How do you find the Q3 in the five-number summary?

Q3, 75th percentile

To find the third quartile, or 75th percentile, list all the numbers in the data set from position 10 to position 18. These are the positions in the data set that are more than the position of the median. 205,207,219,225,243,243,248,264,264, Now, we find the median of this smaller data set.

How do you work out quartiles?

How to Calculate Quartiles
Order your data set from lowest to highest values.Find the median. This is the second quartile Q2.At Q2 split the ordered data set into two halves.The lower quartile Q1 is the median of the lower half of the data.The upper quartile Q3 is the median of the upper half of the data.

What is Q1 in math?

The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order. The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.