Answer:
Lowest Value = 0
Lower Quartile = 1.5
Median = 4.5
Lower Quartile = 6.5
Highest Value = 7
Step-by-step explanation:
Given values:
0, 1, 2, 3, 6, 6, 7, 7
Before determining the quartiles, place the values of the data set in order of size.
To find the position of the lower quartile (Q1) first work out n/4 (where n is the number of data values in the set).
If n/4 is a whole number, then the lower quartile is halfway between the values in this position and the position above.
⇒ 8/4 = 2, so the Lower Quartile is halfway between the 2nd and 3rd values.
⇒ Lower Quartile = 1.5
The median is the value in the middle of the data set when all the data values are placed in order of size.
To find the position of the median (Q2) first work out n/2.
If n/2 is a whole number, then the median is halfway between the values in this position and the position above.
⇒ Median = 4.5
To find the position of the upper quartile (Q3) first work out 3n/4 (where n is the number of data values in the set).
If 3n/4 is a whole number, then the lower quartile is halfway between the values in this position and the position above.
⇒ (3 x 8)/4 = 6, so the Lower Quartile is halfway between the 6th and 7th values.
⇒ Lower Quartile = 1.5
The lowest value is the smallest value in the data set = 0
The highest value is the largest value in the data set = 7
