Subjects statistics

Median Temperature 12B4Dc

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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.