Brianna recorded the high temperatures in her town each day for 8 consecutive days. Her data is shown. 78, 65, 72, 80, 68, 77, 75, 52 Which is not a true statement about the data?

> 50% of the temperatures are between 66.5 and 77.5 degrees.
> 75% of the temperatures are less than 77.5 degrees.
> 25% of the temperatures are less than 66.5 degrees.
> 50% of the temperatures are less than 77.5 degrees.

To determine which statement is not true about the data, we need to analyze the given temperatures. Let's break it down step by step:

Step 1: Sort the temperatures in ascending order:
52, 65, 68, 72, 75, 77, 78, 80

Step 2: Calculate the following percentiles:
- 25th percentile (Q1): This represents the temperature below which 25% of the data falls. In our case, the 25th percentile would be the value in the 2nd position.
- 50th percentile (Q2): This represents the median value, which separates the higher half from the lower half of the data. In our case, the 50th percentile would be the value in the 4th position.
- 75th percentile (Q3): This represents the temperature below which 75% of the data falls. In our case, the 75th percentile would be the value in the 6th position.

Step 3: Calculate the values:
Q1 = 65
Q2 = 72
Q3 = 77

Analyzing the statements:
1) 50% of the temperatures are between 66.5 and 77.5 degrees: This statement is true since the range between Q1 and Q3 covers 50% of the data, and 66.5 and 77.5 fall within that range.
2) 75% of the temperatures are less than 77.5 degrees: This statement is true since Q3 represents the temperature below which 75% of the data falls, and 77.5 degrees is below Q3.
3) 25% of the temperatures are less than 66.5 degrees: This statement is false. Q1 represents the temperature below which 25% of the data falls, and 66.5 degrees is higher than Q1.
4) 50% of the temperatures are less than 77.5 degrees: This statement is true since Q2 represents the median value and separates the higher half from the lower half of the data, and 77.5 degrees is below Q2.

Based on the analysis, the statement that is NOT true is: "25% of the temperatures are less than 66.5 degrees."

the fourth one, its not that hard