Question
Open-Ended Find the range of the data set shown. Then use the range to describe the variability of the data set. Use pencil and paper. Write a situation that could be modeled using this data set. Interpret the range and variability in the context of your situation.
14.60
19.38
18.84
14.82
15.91
18.36
25.66
16.02
17.33
19.08
Question content area bottom
Part 1
The range of the data set is
enter your response here.
14.60
19.38
18.84
14.82
15.91
18.36
25.66
16.02
17.33
19.08
Question content area bottom
Part 1
The range of the data set is
enter your response here.
Answers
GPT-4o mini
To find the range of the data set, we need to subtract the smallest value from the largest value in the data set. Here are the values in the given data set:
- 14.60
- 19.38
- 18.84
- 14.82
- 15.91
- 18.36
- 25.66
- 16.02
- 17.33
- 19.08
**Step 1: Identify the smallest and largest values.**
- Smallest value: 14.60
- Largest value: 25.66
**Step 2: Calculate the range.**
Range = Largest value - Smallest value
Range = 25.66 - 14.60 = 11.06
Thus, the range of the data set is **11.06**.
### Variability Description
The range of 11.06 indicates a moderate level of variability in the data set. A larger range suggests that the values are spread out over a wider interval, while a smaller range indicates that the values are closer together. In this case, the range indicates that there is some difference in the values, meaning that the data set has a variety of values that can represent different instances or measurements.
### Situation Modeling
Let's say this data set represents the daily temperatures (in degrees Celsius) recorded over ten days in a region. These temperatures could vary due to weather changes, seasonality, or geographical effects.
### Interpretation in Context
In the context of the temperatures over ten days, the minimum temperature recorded was 14.60 °C, and the maximum temperature was 25.66 °C. The range of 11.06 °C indicates a noticeable variation in daily temperatures, suggesting that weather during this period is not consistent and experiences diversity. This variability can be important for various applications, such as planning outdoor events, agricultural activities, or understanding seasonal patterns. The wider the range, the more diverse the daily weather conditions are, which could impact both human activities and natural environments.
- 14.60
- 19.38
- 18.84
- 14.82
- 15.91
- 18.36
- 25.66
- 16.02
- 17.33
- 19.08
**Step 1: Identify the smallest and largest values.**
- Smallest value: 14.60
- Largest value: 25.66
**Step 2: Calculate the range.**
Range = Largest value - Smallest value
Range = 25.66 - 14.60 = 11.06
Thus, the range of the data set is **11.06**.
### Variability Description
The range of 11.06 indicates a moderate level of variability in the data set. A larger range suggests that the values are spread out over a wider interval, while a smaller range indicates that the values are closer together. In this case, the range indicates that there is some difference in the values, meaning that the data set has a variety of values that can represent different instances or measurements.
### Situation Modeling
Let's say this data set represents the daily temperatures (in degrees Celsius) recorded over ten days in a region. These temperatures could vary due to weather changes, seasonality, or geographical effects.
### Interpretation in Context
In the context of the temperatures over ten days, the minimum temperature recorded was 14.60 °C, and the maximum temperature was 25.66 °C. The range of 11.06 °C indicates a noticeable variation in daily temperatures, suggesting that weather during this period is not consistent and experiences diversity. This variability can be important for various applications, such as planning outdoor events, agricultural activities, or understanding seasonal patterns. The wider the range, the more diverse the daily weather conditions are, which could impact both human activities and natural environments.