Answer:10,3.58
Step-by-step explanation:
The range of a data set is the difference between the least number and highest number in the data set.
The least number in the data set is [tex]39[/tex].
The highest number in the data set is [tex]49[/tex].
So,range is [tex]49-39=10[/tex]
Standard deviation measures how spread out the values in a data set are around the mean.
Let [tex]m[/tex] be the mean of the set.
[tex]m=\frac{46+44+49+39+48+40+42}{7}=\frac{308}{7}=44[/tex]
[tex]variance=\frac{(46-44^{2})+(44-44^{2})+(49-44^{2})+(39-44^{2})+(48-44^{2})+(40-44^{2})+(40-44^{2})+(42-44^{2})}{7} =\frac{4+25+25+16+16+4}{7}=12.85[/tex]
[tex]standard deviation=\sqrt{variance}=\sqrt{12.85}=3.58[/tex]
