We appreciate your visit to The data set shows the weights of pears in grams in a crate of fruit 143 146 158 159 162 166 169 170 170 193. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
193, 197 are outliers of data.
Step-by-step explanation:
Given : The data set 143, 146, 158, 159, 162, 166, 169, 170, 170, 193, 197 .
To find : Which data values are outliers?
Solution : We have given that 143, 146, 158, 159, 162, 166, 169, 170, 170, 193, 197 .
We need to find Outliers from given data :
Outliers : "Outliers" are values that "lie outside" the other values.
we can see from the data 193 and 197 are lie outside the others values.
Therefore , 193, 197 are outliers of data.
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Rewritten by : Barada
Outliers: 143, 146, 193, 197. Identified by calculating quartiles, IQR, and comparing values to lower and upper bounds.
To identify outliers in a dataset, one common method is to use the interquartile range (IQR).
Here's how to do it step by step:
1. **Calculate the Quartiles:**
- First, sort the data:
143, 146, 158, 159, 162, 166, 169, 170, 170, 193, 197
- The median (Q2) is the middle value, which is 166.
- The lower quartile (Q1) is the median of the lower half of the data, which is the average of 146 and 159, i.e., (146 + 159) / 2 = 152.5.
- The upper quartile (Q3) is the median of the upper half of the data, which is the average of 170 and 193, i.e., (170 + 193) / 2 = 181.5.
2. **Calculate the Interquartile Range (IQR):**
- IQR = Q3 - Q1 = 181.5 - 152.5 = 29
3. **Identify Outliers:**
- Values that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR are considered outliers.
- Lower Bound = Q1 - 1.5 * IQR = 152.5 - 1.5 * 29 = 152.5 - 43.5 = 109
- Upper Bound = Q3 + 1.5 * IQR = 181.5 + 1.5 * 29 = 181.5 + 43.5 = 225
4. **Check which values fall outside the bounds:**
- Outliers are the values that are less than the Lower Bound or greater than the Upper Bound.
Let's check:
- 143 < 109 (Outlier)
- 146 < 109 (Outlier)
- 193 > 225 (Outlier)
- 197 > 225 (Outlier)
So, the outliers in this dataset are 143, 146, 193, and 197.
