Question

In: Statistics and Probability

how to find the first, second, third quantile of a column in a dataset with R?...

how to find the first, second, third quantile of a column in a dataset with R?

the dataset is like this:

columns values

a. 1. 2. 3. 5. 6. 7. 4. 7. 8. .........

b 5. 6. 7. 3. 8. 0. 4. 7. 4. 7. .........

c    1. 2. 3. 5. 6. 7. 4. 7. 8. .........

d 6. 3. 1. 0. 8. 3. 6. 6. 3.........

Solutions

Expert Solution

a. 1, 2, 3, 5, 6, 7, 4, 7, 8.

The first quartile, or lower quartile, is the value that cuts off the first 25% of the data when it is sorted in ascending order. The second quartile, or median, is the value that cuts off the first 50%. The third quartile, or upper quartile, is the value that cuts off the first 75%.

R code:

> x<-c(1,2,3,5,6,7,4,7,8)
> quantile(x)
0% 25% 50% 75% 100%
1 3 5 7 8

The first, second and third quartile  are 3, 5 and 7 respectively.

b) 5, 6, 7, 3, 8, 0, 4, 7, 4, 7.

R-code:

>x<-c(5,6,7,3,8,0,4,7,4,7)
> quantile(x)
0% 25% 50% 75% 100%
0.0 4.0 5.5 7.0 8.0

The first, second and third quartile are 4, 5.5 and 7 respectively.

c)   1, 2, 3, 5, 6, 7, 4, 7, 8

R-code:

>x<-c(1,2,3,5,6,7,4,7,8)
> quantile(x)
0% 25% 50% 75% 100%
1 3 5 7 8

The first, second and third quartile are 3, 5 and 7 respectively.

d)  6, 3, 1, 0, 8, 3, 6, 6, 3

R-code:

>a<-c(6,3,1,0,8,3,6,6,3)
> quantile(a)
0% 25% 50% 75% 100%
0 3 3 6 8

The first, second and third quartile are 3, 3 and 6 respectively.

orchestra answered 1 year ago
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