Question: The histogram shows daily minimum temperatures that were recorded over a month in a city in California:
Complete the following sentences.
The number of observations is ______.
The median daily minimum temperature over this period was between _____ degrees Fahrenheit.
Daily minimum temperatures in
September
Number of days
Temperature, degrees Fahrenheit
60-61 62-63 64-65 66-67 68-69 70-71 72-73
Histogram of daily minimum temperatures, with bars at approximately 60-61: 12 days, 62-63: 6 days, 64-65: 5 days, 66-67: 0 days, 68-69: 3 days, 70-71: 3 days, 72-73: 1 day.
1. **State the problem:** We are given a histogram showing the number of days with daily minimum temperatures in certain ranges over a month. We need to find the total number of observations and the median temperature range.
2. **List the data from the histogram:**
- 60-61 degrees: 12 days
- 62-63 degrees: 6 days
- 64-65 degrees: 5 days
- 66-67 degrees: 0 days
- 68-69 degrees: 3 days
- 70-71 degrees: 3 days
- 72-73 degrees: 1 day
3. **Calculate the total number of observations:**
$$12 + 6 + 5 + 0 + 3 + 3 + 1 = 30$$
4. **Find the median position:**
Since there are 30 observations, the median is the average of the 15th and 16th values when the data is ordered.
5. **Determine the median temperature range:**
- The first 12 days are in 60-61 degrees.
- The next 6 days (days 13 to 18) are in 62-63 degrees.
The 15th and 16th observations fall in the 62-63 degrees range.
6. **Answer:**
- The number of observations is **30**.
- The median daily minimum temperature was between **62 and 63** degrees Fahrenheit.