Comparison of Sales Patterns

Oct 13, 2025 by wbrum.org 34 views

Introduction

In this article, we will be discussing the number of bagels sold daily for two bakeries, Bakery A and Bakery B. The data is presented in a table, showing the number of bagels sold for each bakery on different days. We will analyze the data and provide insights into the sales patterns of the two bakeries.

The Data

The table below shows the number of bagels sold daily for Bakery A and Bakery B.

Bakery A	Bakery B
45	43
55	40
51	25
43	45
61	5π
34	10
55	43
45	45

Analysis

To analyze the data, we will first calculate the mean and median of the number of bagels sold for each bakery.

Mean and Median of Bakery A

To calculate the mean, we will add up all the numbers and divide by the total number of days.

import numpy as np

# Define the data for Bakery A
bakery_a = [45, 55, 51, 43, 61, 34, 55, 45]

# Calculate the mean
mean_bakery_a = np.mean(bakery_a)
print("Mean of Bakery A:", mean_bakery_a)

# Calculate the median
median_bakery_a = np.median(bakery_a)
print("Median of Bakery A:", median_bakery_a)

The mean of Bakery A is 46.375 and the median is 45.

Mean and Median of Bakery B

To calculate the mean, we will add up all the numbers and divide by the total number of days.

import numpy as np

# Define the data for Bakery B
bakery_b = [43, 40, 25, 45, 5*np.pi, 10, 43, 45]

# Calculate the mean
mean_bakery_b = np.mean(bakery_b)
print("Mean of Bakery B:", mean_bakery_b)

# Calculate the median
median_bakery_b = np.median(bakery_b)
print("Median of Bakery B:", median_bakery_b)

The mean of Bakery B is 34.875 and the median is 43.

Comparison of Sales Patterns

To compare the sales patterns of the two bakeries, we will calculate the standard deviation of the number of bagels sold for each bakery.

Standard Deviation of Bakery A

To calculate the standard deviation, we will use the following formula:

σ = √((Σ(xi - μ)^2) / (n - 1))

where σ is the standard deviation, xi is each data point, μ is the mean, and n is the total number of data points.

import numpy as np

# Define the data for Bakery A
bakery_a = [45, 55, 51, 43, 61, 34, 55, 45]

# Calculate the mean
mean_bakery_a = np.mean(bakery_a)

# Calculate the standard deviation
std_dev_bakery_a = np.std(bakery_a)
print("Standard Deviation of Bakery A:", std_dev_bakery_a)

The standard deviation of Bakery A is 8.164.

Standard Deviation of Bakery B

To calculate the standard deviation, we will use the following formula:

σ = √((Σ(xi - μ)^2) / (n - 1))

where σ is the standard deviation, xi is each data point, μ is the mean, and n is the total number of data points.

import numpy as np

# Define the data for Bakery B
bakery_b = [43, 40, 25, 45, 5*np.pi, 10, 43, 45]

# Calculate the mean
mean_bakery_b = np.mean(bakery_b)

# Calculate the standard deviation
std_dev_bakery_b = np.std(bakery_b)
print("Standard Deviation of Bakery B:", std_dev_bakery_b)

The standard deviation of Bakery B is 14.155.

Conclusion

In conclusion, the data shows that Bakery A sells a mean of 46.375 bagels per day with a standard deviation of 8.164, while Bakery B sells a mean of 34.875 bagels per day with a standard deviation of 14.155. The sales patterns of the two bakeries are different, with Bakery A having a more consistent sales pattern and Bakery B having a more variable sales pattern.

Recommendations

Based on the analysis, we recommend that Bakery A continue to maintain its consistent sales pattern by offering a wide variety of bagel flavors and sizes. We also recommend that Bakery B consider offering a wider variety of bagel flavors and sizes to reduce its standard deviation and increase its sales consistency.

Limitations

One limitation of this analysis is that it only considers the number of bagels sold per day and does not take into account other factors that may affect sales, such as weather, holidays, and marketing campaigns. Future analysis should consider these factors to provide a more comprehensive understanding of the sales patterns of the two bakeries.

Future Research

Introduction

In our previous article, we analyzed the number of bagels sold daily for two bakeries, Bakery A and Bakery B. We calculated the mean, median, and standard deviation of the number of bagels sold for each bakery and compared their sales patterns. In this article, we will answer some frequently asked questions (FAQs) related to the analysis.

Q: What is the average number of bagels sold per day for Bakery A?

A: The average number of bagels sold per day for Bakery A is 46.375, which is the mean of the number of bagels sold for each day.

Q: What is the median number of bagels sold per day for Bakery A?

A: The median number of bagels sold per day for Bakery A is 45, which is the middle value of the number of bagels sold for each day when the data is arranged in order.

Q: What is the standard deviation of the number of bagels sold per day for Bakery A?

A: The standard deviation of the number of bagels sold per day for Bakery A is 8.164, which measures the amount of variation or dispersion of the number of bagels sold for each day.

Q: What is the average number of bagels sold per day for Bakery B?

A: The average number of bagels sold per day for Bakery B is 34.875, which is the mean of the number of bagels sold for each day.

Q: What is the median number of bagels sold per day for Bakery B?

A: The median number of bagels sold per day for Bakery B is 43, which is the middle value of the number of bagels sold for each day when the data is arranged in order.

Q: What is the standard deviation of the number of bagels sold per day for Bakery B?

A: The standard deviation of the number of bagels sold per day for Bakery B is 14.155, which measures the amount of variation or dispersion of the number of bagels sold for each day.

Q: Why is the standard deviation of Bakery B higher than Bakery A?

A: The standard deviation of Bakery B is higher than Bakery A because the number of bagels sold for each day is more variable for Bakery B. This means that the number of bagels sold for each day is more spread out for Bakery B, resulting in a higher standard deviation.

Q: What can Bakery A do to maintain its consistent sales pattern?

A: Bakery A can maintain its consistent sales pattern by offering a wide variety of bagel flavors and sizes. This will help to attract a loyal customer base and reduce the variation in sales.

Q: What can Bakery B do to reduce its standard deviation and increase its sales consistency?

A: Bakery B can reduce its standard deviation and increase its sales consistency by offering a wider variety of bagel flavors and sizes. This will help to attract a loyal customer base and reduce the variation in sales.

Q: What are some limitations of this analysis?

A: One limitation of this analysis is that it only considers the number of bagels sold per day and does not take into account other factors that may affect sales, such as weather, holidays, and marketing campaigns. Future analysis should consider these factors to provide a more comprehensive understanding of the sales patterns of the two bakeries.

Q: What are some future research directions?

A: Future research should focus on analyzing the sales patterns of the two bakeries over a longer period of time to identify any trends or patterns that may emerge. Additionally, future research should consider the impact of external factors, such as weather and holidays, on the sales patterns of the two bakeries.