Respuesta :
Answer:
The value of the (RIC) will increase from 4 to 5.75, that is, 44%
Step-by-step explanation:
To answer this question you have to know the definition of Rank well.
The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin
The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.
Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%
Answer:
Hence the interquartile range increased by 3(7-4) when we included the eight weight.
Step-by-step explanation:
The weight of the seven rocks is given as:
11 13 14 6 10 9 10
on arranging the data in the ascending order we get the observation as:
6 9 10 10 11 13 14
we divide our data into 3 sets:
the median of data([tex]Q_2[/tex]) is: 10 (as it is the middle value among the data)
The lower set of data is:
6 9 10
[tex]Q_1=9[/tex] ( as it is the middle value)
The upper set of data is:
11 13 14
[tex]Q_3=13[/tex] ( as it is the middle value in the upper set of data)
Hence, the interquartile range is: [tex]Q_3-Q_1=13-9=4[/tex]
The weight of eight rocks is given as:
11 13 14 6 10 9 10 5
On arranging the data in ascending order we get:
5 6 9 10 10 11 13 14
The median of the data is denoted by [tex]Q_2[/tex] which is the middle value of the given data.
Hence the median here is between 10, 10.
so, the median is given by:
[tex]\dfrac{10+10}{2}=10[/tex]
thus [tex]Q_2=10[/tex]
also the lower set of data is:
5 6 9
Thus [tex]Q_1=6[/tex] (as it is the middle value in the lower set of data)
the upper set of data is:
11 13 14
Thus [tex]Q_3=13[/tex]
Hence, the interquartile range is:
[tex]Q_3-Q_1=13-6=7[/tex]
So when we were having seven weights the interquartile range was: 4
and when we included the eight weight the interquartile range becomes: 7
Hence the interquartile range increased by 3(7-4) when we included the eight weight.
