the table shows the daily time, in minutes, maggie spent at swim practice and band practice over the last…
the table shows the daily time, in minutes, maggie spent at swim practice and band practice over the last ten days. practice times\n|swim|55|50|70|75|60|55|55|75|65|70|\n|band|45|60|90|35|40|50|90|40|45|50|\nwhich statement is true about the measures of center of the practice times?\nmaggies daily time at band practice tends to be greater than her time at swim practice.\nmaggies daily time at band practice has less variation than her daily time at swim practice.\nmaggies daily time at swim practice tends to be greater than her time at band practice.\nmaggies daily time at swim practice tends to have more variation than her daily time at band practice.
Answer
Explanation:
Step1: Calculate the mean of swim practice times
Sum of swim times: $55 + 50+70 + 75+60+55+55+75+65+70=635$ Number of data - points $n = 10$ Mean of swim times $\bar{x}_{swim}=\frac{635}{10}=63.5$
Step2: Calculate the 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 the statements
Since $\bar{x}{swim}=63.5$ and $\bar{x}{band}=54.5$, Maggie's daily time at swim practice tends to be greater than her time at band practice.