For which week would the mean of the data be a good estimate of the jewelry store's weekly sales throughout the year?
Answer: Week 4's mean would be a good estimate of the jewelry store's weekly sales throughout the year. Because the average of the Week 4's sales is 8. Also we can see the Week 4's data appears without outliers. So the option Week 4: 9, 7, 8, 8, 11, 6, 7 would be a good estimate of the jewelry store's weekly sales throughout the year.
Step-by-step explanation:
Week 1's mean is:
![(7+8+7+9+1+6+8)/(7) =(46)/(7) =6.57](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2j468wtm0qpk3q2raevm5388i8yzh5vchw.png)
Week 2's mean is:
![(6+7+8+7+9+8+17)/(7) =(62)/(7) =8.86](https://img.qammunity.org/2019/formulas/mathematics/middle-school/qdxa6rcm4gtjl6p9dhr884rnoe9jw2tg7c.png)
Week 3's mean is:
![(3+1+2+3+2+3+2)/(7) =(16)/(7) =2.29](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vka2sbk7rro4ml8z64fue2dlgup38hqhsk.png)
Week 4's mean is:
![(9+7+8+8+11+6+7)/(7) =(56)/(7) =8](https://img.qammunity.org/2019/formulas/mathematics/middle-school/dlxmc0gafrvsvlzifm3112dhkhjue1sew4.png)
Since the week 4's mean is 8, which is same as typical day's sale of bracelet's. Therefore, week 4 will be good estimate of the jewelry store's weekly sales throughout the year.