Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The number of lattes sold daily for a coffee shop is shown in the table:

| Lattes |
|--------|
| 55 |
| 52 |
| 56 |
| 48 |
| 57 |
| 20 |
| 45 |
| 41 |

Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier?

A. 2
B. 3
C. 30
D. 52

Sagot :

GinnyAnswer
To find the difference between the median of the data including the outlier and excluding the outlier, we need to follow these steps:

1. Identify and sort the data:
The given data is: 55, 52, 56, 48, 57, 20, 45, 41
When sorted in ascending order: 20, 41, 45, 48, 52, 55, 56, 57

2. Calculate the median including the outlier:
Since there are 8 numbers, the median will be the average of the 4th and the 5th values in the sorted list.
- The 4th value (48) and the 5th value (52)
- Median including outlier = (48 + 52) / 2 = 50.0

3. Identify the outlier:
Here, the outlier is the value 20, which is noticeably different from the other values.

4. Remove the outlier and sort the remaining data:
The remaining data is: 55, 52, 56, 48, 57, 45, 41
Sorted in ascending order: 41, 45, 48, 52, 55, 56, 57

5. Calculate the median excluding the outlier:
Since there are now 7 numbers, the median will be the middle value (4th value in the sorted list).
- Median excluding outlier = 52

6. Calculate the difference between the two medians:
- Difference = Median including outlier - Median excluding outlier
- Difference = 50.0 - 52 = -2.0

Thus, the difference between the median of the data including the outlier and excluding the outlier is -2.0, and the correct choice is 2.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.