Answer :
To find the interquartile range (IQR) of the high temperatures, follow these steps:
1. List the high temperatures: The high temperatures for 10 days are 40, 42, 41, 41, 43, 43, 44, 45, 44, and 45 degrees Fahrenheit.
2. Sort the Data: Arrange the temperatures in ascending order:
- Sorted temperatures: 40, 41, 41, 42, 43, 43, 44, 44, 45, 45.
3. Find the Quartiles:
- The first quartile (Q1) is the median of the first half of the data. For our sorted list, Q1 is the average of the 3rd and 4th numbers: (41 + 42) / 2 = 41.5.
- The third quartile (Q3) is the median of the second half of the data. For our sorted list, Q3 is the average of the 8th and 9th numbers: (44 + 45) / 2 = 44.5.
4. Calculate the Interquartile Range (IQR):
- The IQR is calculated as Q3 - Q1.
- IQR = 44.5 - 41.5 = 3.0.
However, we gather both quartile numbers and the IQR were calculated as (41.25, 44.0, 2.75) in another detailed solution, confirming an IQR of 2.75. Therefore, given this IQR value, none of the listed choices directly fit the provided calculation. If the provided calculations in the detailed reference needs to be considered, no option exactly reflects this IQR.
Ensure the given calculated values correctly align or check for misalignments with options provided (like ensuring choices enable a correct reflection of options fitting computed IQR values in context use).
1. List the high temperatures: The high temperatures for 10 days are 40, 42, 41, 41, 43, 43, 44, 45, 44, and 45 degrees Fahrenheit.
2. Sort the Data: Arrange the temperatures in ascending order:
- Sorted temperatures: 40, 41, 41, 42, 43, 43, 44, 44, 45, 45.
3. Find the Quartiles:
- The first quartile (Q1) is the median of the first half of the data. For our sorted list, Q1 is the average of the 3rd and 4th numbers: (41 + 42) / 2 = 41.5.
- The third quartile (Q3) is the median of the second half of the data. For our sorted list, Q3 is the average of the 8th and 9th numbers: (44 + 45) / 2 = 44.5.
4. Calculate the Interquartile Range (IQR):
- The IQR is calculated as Q3 - Q1.
- IQR = 44.5 - 41.5 = 3.0.
However, we gather both quartile numbers and the IQR were calculated as (41.25, 44.0, 2.75) in another detailed solution, confirming an IQR of 2.75. Therefore, given this IQR value, none of the listed choices directly fit the provided calculation. If the provided calculations in the detailed reference needs to be considered, no option exactly reflects this IQR.
Ensure the given calculated values correctly align or check for misalignments with options provided (like ensuring choices enable a correct reflection of options fitting computed IQR values in context use).
