What does an outlier do to the standard deviation? O Increases the standard deviation O Decreases the standard deviation The standard deviation is not affected by outliers
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Understanding the Impact of Outliers on Standard Deviation
#### Question:
What does an outlier do to the standard deviation?
#### Options:
1. **Increases the standard deviation** [Selected Option]
2. Decreases the standard deviation
3. The standard deviation is not affected by outliers
##### Explanation:
Outliers, which are extreme values that differ significantly from the rest of the data, tend to increase the standard deviation of a dataset. The standard deviation measures the dispersion or spread of data points around the mean. When an outlier is present, it increases the spread of the data, thus increasing the overall standard deviation.
Understanding this concept is crucial in data analysis, as it helps to accurately characterize the variability of data. Ignoring outliers could lead to misleading interpretations of statistical results.
This selection is indicated in the provided image where the option "Increases the standard deviation" is marked.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d6b9a7-7dfd-4e6a-9264-375a7e5a9ea5%2F2e14da8b-a2cd-4585-af0e-bb6d5a6167f2%2F3s10jwl_processed.jpeg&w=3840&q=75)
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