PLEASE RESPOND TO EACH (130 words each responses) PLEASE MAKE IT SOUND VERY CASUAL
1) Hello Everyone,
The median better describes the days between grocery orders. To find the mean, I added all 40 values together and got the sum of 486. Then I proceeded to divide the sum of the values by the total number of values (486/40), which gave a mean of 12.15 days. To find the median, I arranged the numbers from smallest to largest. Since there are 40 numbers (even amount), I found the middle two values, which were the 20th and 21st numbers. Both of those numbers were 8, so the median is 8 days. The data included several large values like 28, 29, and many 30s. These higher numbers raise the means, making it larger than most of the typical values. Because of this right-skewed shape, the median gives a better idea of what is normal for customers.
The level of measurements is ratio because days have a true zero and can be compared using multiplication. For example, 10 days is twice as 5 days, a value of zero would mean a customer placed orders on the same day. This shows the data have equal interval and meaningful differences between numbers.
Instacart could use this information by sending reminders around 7 or 8 to encourage customers to reorder. This could increase sales and improve planning. The company could also offer small discounts before the average reorder time to motivate customers. In addition, knowing typical ordering patterns helps with staffing, inventory control, and delivery scheduling. This allows the company to make smarter business decisions based on customer behavior.
2)Good morning class,
In reviewing the data from Problem 28, which shows the number of days between grocery orders at Instacart, I began by calculating the mean and median. The mean number of days between orders is approximately 12.63, while the median is 8.5. This noticeable difference between the two values prompted me to examine the data distribution in greater detail. After organizing the data into a histogram, it became clear that the distribution is right-skewed, with most values concentrated at the lower end and a long tail extending toward higher values. Many customers placed orders around 5 to 8 days apart, but there are multiple high outliers, such as 28, 29, and several 30s, that extend the range and pull the mean upward. This skewness is important because it indicates that the mean is distorted by extreme values, whereas the median remains stable and better reflects the typical ordering behavior (Sullivan, 2025). For that reason, the median is the more appropriate measure of central tendency for this data.
The level of measurement for this data is ratio, since the values represent countable quantities, have equal intervals, and contain a meaningful zero, indicating the possibility of no time between orders. Instacart could use these insights strategically. If the majority of customers reorder between 5 and 9 days, the company might time promotional emails or app notifications around day 6 to encourage reordering. On the other hand, recognizing that a smaller group places monthly orders, as seen in the cluster of 28-to-30-day intervals, could lead to targeted reminders or subscription-based offers tailored to those users habits.
Overall, analyzing both the numerical and visual elements of the data supported my conclusion that the median provides a clearer picture of customer behavior. The histogram shape, especially its skewness, played a role in justifying that choice.
Reference:
Sullivan, M., III. (2025). Statistics: Informed decisions using data (7th ed.). Pearson
THIS IS THE ASSIGNMENT PROMPT
Complete problem 28, “Online Shopping” in Ch. 3 of your textbook.
The data in the problem represents the number of days between grocery orders at the online delivery company Instacart. Determine the shape of the distribution of days between orders by drawing a frequency histogram. Find the mean and median days between orders.
Respond to the following in a minimum of 175 words:
PLEASE SITE and GET INFORMATION HERE
Sullivan, M., III. (2025). Statistics: Informed decisions using data (7th ed.). Pearson.
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