Five number summary is one of the important topics in mathematics. Five number summary is a sample from which they are derived from a particular group of individuals. Five number summary has a set of observations. In a single variable, it has a set of observations. Five number summary has a different statistics. Here we study about the different statistics involved in five number summary.The online tutoring for the five number summary will give the explanations to the students very interactively through the definitions, steps and examples problems. Therefore, students can learn from online.
Five number summary tutoring:
Different statistics are involved in five number summary are,
Minimum
Maximum
Median
Lower quartile
Upper quartile
Minimum:
Lowest value in the given set of numbers.
Maximum:
Largest value in the given set of numbers.
Median:
Middle value in the given set of numbers.
Lower quartile:
Number between the minimum and median.
Upper quartile:
Number between the maximum and median.
Five number summary tutoring - Steps to solve:
There are different steps to solve the five number summary are,
Observation can be arranged in the ascending order.
The lowest and largest value in the observation can be determined.
The median can be determined. When the observation has odd number of observation than the median is in middle of the observation. Otherwise it is an even number then the median is calculated by the average of the two middle numbers.
The upper quartile can be determined. When the observation minus one is divided by 4 means it is starting with the median and observations in the right side. Otherwise the observation is not divided by four means upper quartile is the median of the observation to the right of the location of overall median.
The lower quartile can be Determined. When the observation set minus one is divided by 4 then it is starting with the median and its observations in the left side. Otherwise the observation is not divided by four means lower quartile is the median of the observation to the left of the location of overall median
Five number summary tutoring - Example problem:
Example 1:
Find the five number summary for the given set of data
{535, 572, 534, 545, 529, 528, and 577}
Solution:
Given set of data
{535, 572, 534, 545, 529, 528, and 577}
{528, 529, 534, 535, 545, 572, 577} [Arrange the set in ascending order]
Minimum and Maximum values in the given set of data are 528 and 577.
Median:
Given observation is odd. So the median is middle of the observation then the median is 535.
Lower quartile:
Given observation is not divisible by four. So the lower quartile is {528, 529, and 534}
Upper quartile:
Given observation is not divisible by four. So the upper quartile is {545, 572, and 577}.
Answer:
Minimum: 528
Maximum: 577
Median: 535
Lower quartile: {528, 529 and 534}
Upper quartile: {545, 572 and 577}
Example 2:
Find the five number summary for the given set of data
{36, 71, 33, 44, 22, 27, 55 and 76}
Solution:
Given set of data
{36, 71, 33, 44, 22, 27, 55 and 76}
{22, 27, 33, 36, 44, 55, 71, 76} [Arrange the set in ascending order]
Minimum and Maximum values in the given set of data are 22 and 76.
Median:
Given observation is even. So the median is median is calculated by the average of the two middle numbers
Median = (36 + 44)/2
= 80/2
Median = 40
Lower quartile:
Given observation is not divisible by four. So the lower quartile is {22, 27, 33 and 36}
Upper quartile:
Given observation is not divisible by four. So the upper quartile is {44, 55, 71 and 76}.
Answer:
Minimum: 22
Maximum: 76
Median: 40
Lower quartile: {22, 27, 33 and 36}
Upper quartile: {44, 55, 71 and 76}
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