Question

Nadiya collected all the scores in her class

6, 7, 7, 7, 8, 8, 8, 8, 9, 10, 10, 11,

11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 14, 15

What is the mode?

What is the 70th percentile?

What is the 3rd decile?

Create a box and whiskers plot of the set of scores.

Answer 1

Sol:

here n=24

mode is most repeating value

Highest frequency=7

11 repeats 7 times

mode=11

What is the 70th percentile?

70th percentile=70/100*24=16.8=17th item after data arranged in sorting order

sorting order

6 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 11 12 13 13 13 14 15

17 th item=11

so 70th percentile=11

3 r decile=3/10*24=7.2=7.2th item

3 rd decile after sorting is

6 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 11 12 13 13 13 14 15

3 rd decile=8

to create a boxplot

use below r code

scores <- c(6, 7, 7, 7, 8, 8, 8, 8, 9, 10, 10, 11,

11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 14, 15)

boxplot(scores,main="boxplot",horizontal=TRUE,col="green")

Fivenumber summary from boxplot is

minimum=6.0

Q1= 8.0

Q2=median=11.0

Q3=11.5

maximum=15.0