How to determine the measures of position from this data below?

Question

There are 40 students in a class and here are their scores:

121	101	129	121	135	119	107	111	110	113
102	120	119	118	120	123	116	116	107	111
105	110	112	113	116	115	116	123	104	108
108	109	119	116	122	118	112	115	106	109

Q1:

Q2:

Q3:

IQR:

OUTLIERS:

Thanks in advance as I am having a hard time dealing with this.

Answer 1

First, get a view of the distribution of data by sorting it, then creating a frequency distribution.

Now, determine the Quartiles:

The first quartile, denoted Q₁, is the value in the data set that holds 25% of the values below it.

Q₁ = 109

The third quartile, denoted Q₃, is the value of he data set that holds 25% of the values above it.

Q₃ = 119

Q₂ = 115 [mean]

Interquartile Range (IQR) = Q₃-Q₁ = 119 - 109 = 10

Outliers: 129, 135 (see frequency chart)

Answer 2

Q1:109

Q2:115

Q3:119

IQR:10

OUTLIERS:129,135