On a typical day, a jewelry store sells 8 bracelets. The data show the number of bracelets sold on each day for four weeks at a jewelry store.
Week 1: 7, 8, 7, 9, 1, 6, 8
Week 2: 6, 7, 8, 7, 9, 8, 17
Week 3: 3, 1, 2, 3, 2, 3, 2
Week 4: 9, 7, 8, 8, 11, 6, 7
For which week would the mean of the data be a good estimate of the jewelry store's weekly sales throughout the year?
CLEAR SUBMIT
Week 1
Week 2
Week 3
Week 4
To determine which week would be a good estimate of the jewelry store's weekly sales throughout the year, we need to calculate the mean (average) number of bracelets sold for each week.
Week 1: (7 + 8 + 7 + 9 + 1 + 6 + 8) / 7 = 6.43 bracelets
Week 2: (6 + 7 + 8 + 7 + 9 + 8 + 17) / 7 = 9.29 bracelets
Week 3: (3 + 1 + 2 + 3 + 2 + 3 + 2) / 7 = 2.14 bracelets
Week 4: (9 + 7 + 8 + 8 + 11 + 6 + 7) / 7 = 8.71 bracelets
Based on these calculations, the mean number of bracelets sold is highest in Week 2 with 9.29 bracelets. Therefore, Week 2 would be the best estimate for the jewelry store's weekly sales throughout the year.
To determine which week would the mean of the data be a good estimate of the jewelry store's weekly sales throughout the year, we need to calculate the mean for each week and compare them.
First, let's calculate the mean for each week:
Week 1: (7 + 8 + 7 + 9 + 1 + 6 + 8) / 7 = 46 / 7 ≈ 6.57
Week 2: (6 + 7 + 8 + 7 + 9 + 8 + 17) / 7 = 62 / 7 ≈ 8.86
Week 3: (3 + 1 + 2 + 3 + 2 + 3 + 2) / 7 = 16 / 7 ≈ 2.29
Week 4: (9 + 7 + 8 + 8 + 11 + 6 + 7) / 7 = 56 / 7 = 8
Now, let's compare these means.
The mean for Week 1 is 6.57.
The mean for Week 2 is 8.86.
The mean for Week 3 is 2.29.
The mean for Week 4 is 8.
Based on these calculations, the mean for Week 2 (8.86) would be a good estimate of the jewelry store's weekly sales throughout the year, as it is closer to the average number of bracelets sold (8 bracelets per day).
To determine which week would the mean of the data be a good estimate of the jewelry store's weekly sales throughout the year, we need to find the mean (average) number of bracelets sold for each week and compare them.
To find the mean, we add up the total number of bracelets sold for each week and divide by the number of days (7) in each week.
Week 1: (7 + 8 + 7 + 9 + 1 + 6 + 8) / 7 = 6.86 bracelets (rounded to two decimal places)
Week 2: (6 + 7 + 8 + 7 + 9 + 8 + 17) / 7 = 9.57 bracelets (rounded to two decimal places)
Week 3: (3 + 1 + 2 + 3 + 2 + 3 + 2) / 7 = 2.14 bracelets (rounded to two decimal places)
Week 4: (9 + 7 + 8 + 8 + 11 + 6 + 7) / 7 = 7.86 bracelets (rounded to two decimal places)
Comparing the means, we see that Week 2 has the highest average with 9.57 bracelets sold per day. This suggests that Week 2 would be a good estimate of the jewelry store's weekly sales throughout the year.