What is the interquartile range of the data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}

Step-by-step explanation:

Given : Data set  {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}.

To find : What is the interquartile range of the data set?

Solution : We have Data set  {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}.

Order the number:

42,42,45,45,48,50,50,55,60,65,80 .

Median : (42,42,45,45,48),50,(50,55,60,65,80 ).

50 is the median .

Median of first quartile Q1 : 45.

Median of second quartile Q2 : 60.

interquartile range = Q2-Q1  = 60-45 = 15.

Therefore, Interquartile range is 15.

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24