Introduction to making box and whisker plots:
Box and whisker plots is one of the important concept in math. This method is used to split the data into different number of quartiles. For this we can calculate the values of median and upper quartile and lower quartile range values. In this topic we are going to seen about how to solving and making a box and whisker plots problems with suitable diagrams.
Description about Making a Box and Whisker Plots
Median:
First we can solve the median for the given set of values. So we can arrange the numbers in to the format of ascending or else descending order. Then count the number of values if it is odd middle value is median or else find the mean for the middle two values.
Lower quartile part:
The group of values before the median is noted as Lower quartile part. Again we can measure the median for this LQR values.
Upper quartile part:
The group of values after the median is noted as upper quartile part. Again we can find the median for this UQR values.
Number line:
Draw a number line with particular scale level. Then mark the given values and shade the LQR and UQR and median values. These gives the following four quartiles.
Lowest value to LQR value
LQR value to Median value
Median value to UQR value
UQR value to greatest value
I like to share this how to graph absolute value with you all through my article.
Problems on Making a Box and Whisker Plots
Solving and making a box and whisker plots for the first 10 multiples of 20
Solution:
The first 10 multiples of 20 are 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Solving for Median:
Ascending order: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Number of values: 10
10 is even number so median is a mean of 100 and 120. That is 110
Median = 110
Solving for LQR:
Lower quartile Part: 20, 40, 60, 80, 100
Number of values: 5
5 is a odd number so median is center number 60
LQR = 60
Solving for UQR:
Upper quartile Part: 120, 140, 160, 180, 200
Number of values: 5
5 is a odd number so median is center number 160
UQR = 160
Number line:
Quartiles:
20 to 60
60 to 110
110 to 160
160 to 200
Box and whisker plots is one of the important concept in math. This method is used to split the data into different number of quartiles. For this we can calculate the values of median and upper quartile and lower quartile range values. In this topic we are going to seen about how to solving and making a box and whisker plots problems with suitable diagrams.
Description about Making a Box and Whisker Plots
Median:
First we can solve the median for the given set of values. So we can arrange the numbers in to the format of ascending or else descending order. Then count the number of values if it is odd middle value is median or else find the mean for the middle two values.
Lower quartile part:
The group of values before the median is noted as Lower quartile part. Again we can measure the median for this LQR values.
Upper quartile part:
The group of values after the median is noted as upper quartile part. Again we can find the median for this UQR values.
Number line:
Draw a number line with particular scale level. Then mark the given values and shade the LQR and UQR and median values. These gives the following four quartiles.
Lowest value to LQR value
LQR value to Median value
Median value to UQR value
UQR value to greatest value
I like to share this how to graph absolute value with you all through my article.
Problems on Making a Box and Whisker Plots
Solving and making a box and whisker plots for the first 10 multiples of 20
Solution:
The first 10 multiples of 20 are 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Solving for Median:
Ascending order: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Number of values: 10
10 is even number so median is a mean of 100 and 120. That is 110
Median = 110
Solving for LQR:
Lower quartile Part: 20, 40, 60, 80, 100
Number of values: 5
5 is a odd number so median is center number 60
LQR = 60
Solving for UQR:
Upper quartile Part: 120, 140, 160, 180, 200
Number of values: 5
5 is a odd number so median is center number 160
UQR = 160
Number line:
Quartiles:
20 to 60
60 to 110
110 to 160
160 to 200
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