○=> Solution (7) :
A given set of data is said to have a greater spread if it covers a large scale/area. Since the data set 3 only covers a small portion of a wide spectrum it is said to have a smaller spread when in comparison with data set 4 which has a greater spread as it covers a larger scale/spectrum.
▪︎Therefore, Data set 4 has a greater spread.
○=> Solution (8) :
Lower quartile of a data set is said to be the median of the lower half of the data set.
Lower quartile of this data set :
[tex] = \tt \frac{50 + 60}{2} [/tex]
[tex] =\tt \frac{110}{2} [/tex]
[tex]\color{plum} =\tt 55[/tex]
Thus, the lower quartile of this data set = 55
Median is said to be the middle element of a data set.
The median of this data set = 80
Upper quartile of a data set is said to be the median of the upper half of a given data set.
Upper quartile of this data set :
[tex] =\tt \frac{110 + 100}{2} [/tex]
[tex] =\tt \frac{210}{2} [/tex]
[tex]\color{plum} = \tt105[/tex]
Thus, the upper quartile of this data set = 105
Therefore :
▪︎Lower quartile of this data set = 55
▪︎Upper quartile of this data set = 105
▪︎Median of this data set = 80
