Question

the table shows the daily time, in minutes, maggie spent at swim practice and band practice over the last ten days. practice times

swim	55	50	70	75	60	55	55	75	65	70
band	45	60	90	35	40	50	90	40	45	50

which statement is true about the measures of center of the practice times?
maggies daily time at band practice tends to be greater than her time at swim practice
maggies daily time at band practice has less variation than her daily time at swim practice
maggies daily time at swim practice tends to be greater than her time at band practice
maggies daily time at swim practice tends to have more variation than her daily time at band practice

Explanation:

Step1: Calculate mean of swim practice times

Sum of swim times: $55 + 50+70 + 75+60+55+55+75+65+70=635$. Mean of swim times $\bar{x}_{swim}=\frac{635}{10} = 63.5$.

Step2: Calculate mean of band practice times

Sum of band times: $45+60 + 90+35+40+50+90+40+45+50 = 545$. Mean of band times $\bar{x}_{band}=\frac{545}{10}=54.5$.

Step3: Analyze statements

Since $63.5>54.5$, Maggie's daily time at swim practice tends to be greater than her time at band practice.

Answer:

Maggie's daily time at swim practice tends to be greater than her time at band practice