Question

Scatter Plots & Data Analysis Online Practice Complete this assessment to review what you've learned. It will not count toward your grade. 10 of 2210 of 22 Items Question Use the image to answer the question. (A boxplot on a number line from 60 to 105 is untitled. The 5 points on the boxplot are 64, 88, 97, 102, and 104. The box is from 88 to 102. A vertical line is at 97. A line connects 64 and 88. A line connects 102 and 104.) Which data set is represented by this boxplot? (1 point) Responses {97,98,100,102,91,97,94,88,71,98,89,88,64} start set 97 comma 98 comma 100 comma 102 comma 91 comma 97 comma 94 comma 88 comma 71 comma 98 comma 89 comma 88 comma 64 end set {104,98,102,102,104,97,94,88,78,99,89,88,69} start set 104 comma 98 comma 102 comma 102 comma 104 comma 97 comma 94 comma 88 comma 78 comma 99 comma 89 comma 88 comma 69 end set {104,98,102,102,104,97,94,88,71,99,89,88,64} start set 104 comma 98 comma 102 comma 102 comma 104 comma 97 comma 94 comma 88 comma 71 comma 99 comma 89 comma 88 comma 64 end set {104,98,102,102,104,97,94,88,75,99,89,88,79}

Answer 1

To determine which data set is represented by the given boxplot, we can analyze the key points from the boxplot itself:

1. **Minimum (lower whisker)**: 64
2. **Lower quartile (Q1)**: 88
3. **Median (Q2)**: 97
4. **Upper quartile (Q3)**: 102
5. **Maximum (upper whisker)**: 104

Using these statistics, we can calculate the following for each data set provided:

- **The minimum value must be 64.**
- **The lower quartile (Q1) should be 88.**
- **The median (Q2) should be 97.**
- **The upper quartile (Q3) should be 102.**
- **The maximum value should be 104.**

Now we will check each of the provided data sets against these criteria:

1. **Set 1**: {97, 98, 100, 102, 91, 97, 94, 88, 71, 98, 89, 88, 64}
- Minimum: 64
- Q1: 88
- Median: 97
- Q3: 102
- Maximum: 98 (not 104)

2. **Set 2**: {104, 98, 102, 102, 104, 97, 94, 88, 78, 99, 89, 88, 69}
- Minimum: 69 (not 64)

3. **Set 3**: {104, 98, 102, 102, 104, 97, 94, 88, 71, 99, 89, 88, 64}
- Minimum: 64
- Q1: 88
- Median: 97
- Q3: 102
- Maximum: 104

4. **Set 4**: {104, 98, 102, 102, 104, 97, 94, 88, 75, 99, 89, 88, 79}
- Minimum: 75 (not 64)

From our analysis, **Set 3** is the only one that meets all the criteria as described:

- Minimum: 64
- Q1: 88
- Median: 97
- Q3: 102
- Maximum: 104

Thus, the data set represented by the boxplot is:

**{104, 98, 102, 102, 104, 97, 94, 88, 71, 99, 89, 88, 64}**