The Five Number Summary (2024)

FAQs

What is the five-number summary for the data 0 2 2 4 5 5 5 5 7 11? ›

Expert-Verified Answer

The five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.

The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

What is a Five-Number Summary? Five number summary: the five numbers that summarize the overall characteristics of a data set. These include the minimum, first quartile, median, third quartile, and maximum.

The five number summary consists of the lowest value (minimum), first quartile (Q1), second quartile (median or Q2), third quartile (Q3), and the highest value (maximum).

To find the mode count how often each number appears and the number that appears the most times is the mode.

Finding the median

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

To calculate the mean, you first add all the numbers together (3 + 11 + 4 + 6 + 8 + 9 + 6 = 47). Then you divide the total sum by the number of scores used (47 / 7 = 6.7). In this example, the mean or average of the number set is 6.7.

The five numbers that are your answers to questions 1 to 5 are called the 5-figure summary. Usually the 5- figure summary is written in the order MinX, Q1, Median, Q3, MaxX. The median (Answer to question 3) is the measure of centre. The other numbers provide indications of spread.

The range in math is the difference between the highest value and the lowest value in a data set. How do you find the range in math? To find the range, you simply subtract the lowest value of the data set from the highest value.

Q1 is the data point exactly halfway through the lower half of the data set. Find it by finding the median of the data below the median. Q3 is the halfway point from the median to the end of the data set. Find it by finding the median of the half of the data above the median.

How do you find Q1 and Q3? ›

Q1 is the data point exactly halfway through the lower half of the data set. Find it by finding the median of the data below the median. Q3 is the halfway point from the median to the end of the data set. Find it by finding the median of the half of the data above the median.

Final answer: The five-number summary of the given data set {12, 14, 15, 14, 16, 18, 19, 18} is minimum value = 12, Q1 = 14, median = 15.5, Q3 = 18, maximum value = 19.

To calculate the five number summary in Excel: arrange your data in one column; use =MIN(A:A) for the minimum value, =QUARTILE. INC(A:A, 1) for Q1, =MEDIAN(A:A) for the median, =QUARTILE. INC(A:A, 3) for Q3, and =MAX(A:A) for the maximum value. Replace 'A:A' with the actual range of your data.

The process of calculating a five number summary in Google Sheets involves gathering a set of numerical data and organizing it in ascending order. The five number summary consists of the minimum value, first quartile, median, third quartile, and maximum value of the data set.