Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Which sets contain one or more outliers? Check all that apply.

- [tex]$187, 298, 239, 1, 984, 202, 191$[/tex]
- [tex]$5, 3, 8, 6, 3, 6, 1, 2, 0$[/tex]
- [tex]$15, 19, 21, 16, 25, 13, 17$[/tex]
- [tex]$56, 1, 5, 72, 67, 59, 74, 60$[/tex]
- [tex]$88, 7, 32, 31, 34, 39, 34, 35, 33$[/tex]

Sagot :

GinnyAnswer
To determine which sets contain one or more outliers, we use the concept of the Interquartile Range (IQR). An outlier in a dataset is typically defined as a value that lies more than 1.5 times the IQR below the first quartile (Q1) or above the third quartile (Q3).

Let's proceed step by step for each dataset:

### Set 1: [tex]\(187, 298, 239, 1, 984, 202, 191\)[/tex]

1. Arrange the data: [tex]\(1, 187, 191, 202, 239, 298, 984\)[/tex]
2. Find Q1 (25th percentile) and Q3 (75th percentile).
3. Calculate IQR = Q3 - Q1.
4. Determine lower bound = Q1 - 1.5 IQR.
5. Determine upper bound = Q3 + 1.5 IQR.
6. Identify any values outside these bounds as outliers.

### Set 2: [tex]\(5, 3, 8, 6, 3, 6, 1, 2, 0\)[/tex]

1. Arrange the data: [tex]\(0, 1, 2, 3, 3, 5, 6, 6, 8\)[/tex]
2. Find Q1 and Q3.
3. Calculate IQR.
4. Determine lower and upper bounds.
5. Identify any outliers.

### Set 3: [tex]\(15, 19, 21, 16, 25, 13, 17\)[/tex]

1. Arrange the data: [tex]\(13, 15, 16, 17, 19, 21, 25\)[/tex]
2. Find Q1 and Q3.
3. Calculate IQR.
4. Determine lower and upper bounds.
5. Identify any outliers.

### Set 4: [tex]\(56, 1, 5, 72, 67, 59, 74, 60\)[/tex]

1. Arrange the data: [tex]\(1, 5, 56, 59, 60, 67, 72, 74\)[/tex]
2. Find Q1 and Q3.
3. Calculate IQR.
4. Determine lower and upper bounds.
5. Identify any outliers.

### Set 5: [tex]\(88, 7, 32, 31, 34, 39, 34, 35, 33\)[/tex]

1. Arrange the data: [tex]\(7, 31, 32, 33, 34, 34, 35, 39, 88\)[/tex]
2. Find Q1 and Q3.
3. Calculate IQR.
4. Determine lower and upper bounds.
5. Identify any outliers.

After carrying out the above steps for each set, we reach the following conclusions:

- Set 1 contains outliers.
- Set 2 does not contain outliers.
- Set 3 does not contain outliers.
- Set 4 contains outliers.
- Set 5 contains outliers.

Thus, the sets that contain one or more outliers are:
[tex]\[ \{ \mathbf{187,298,239,1,984,202,191}, \mathbf{56,1,5,72,67,59,74,60}, \mathbf{88,7,32,31,34,39,34,35,33} \} \][/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.