Quartiles mark each 25% of a set of data.
The first quartile Q1 is the 25th percentile
The second quartile Q2 is the 50th percentile
The third quartile Q3 is the 75th percentile
The second quartile Q2 is the median of data set and it divides data set into upper and lower halves.
The first quartile Q1 is the median of the lower half not including the value of Q2.
The third quartile Q3 is the median of the upper half not including the value of Q2.
Calculate Quartiles:
Order your data set from lowest to highest values.
2 , 7 , 12 , 18 , 23 , 28 , 35 , 40
Q2 split the ordered data set into two halves.
Find the median.
In this case median is ( 18 + 23 ) / 2 = 20.5
This is the second quartile Q2.
Q2 = 20.5
The lower quartile Q1 is the median of the lower half of the data.
2 , 7 , 12 , 18
In this case:
Q1 = ( 7 + 12 ) / 2 = 19 / 2 = 9.5
The upper quartile Q3 is the median of the upper half of the data.
23 , 28 , 35 , 40
In this case:
Q3 = ( 28 + 35 ) / 2 = 63 / 2 = 31.5
What are the minimum, first quartile, median, third quartile, and maximum of the data set?
40, 7, 2, 35, 12, 23, 18, 28
i can get the minimum and maximum and the median but not the first and third quartile
1 answer