6. MGSE6.SP.5: Kendra recorded the low temperatures (in degrees Fahrenheit) in her city each day for 8 consecutive days. Her data are shown.
28, 15, 22, 30, 18, 27, 25, 2
Which Statements are true about the data?
A. 50% of the temperatures are between 16.5 and 27.5 degrees.
B. 75% of the temperatures are less than 27.5 degrees.
C. 25% of the temperatures are less than 16.5 degrees.
D. 50% of the temperatures are less than 27.5 degrees.
C and B
c, a and don't know the other
Kendra recorded the low temperatures (in degrees Fahrenheit) in her city each day for 8 consecutive days. Her data are shown.
Kendra recorded the low temperatures (in degrees Fahrenheit) in her city
each day for 8 consecutive days. Her data are shown.
28, 15, 22, 30, 18, 27, 25, 2
Which Statements are true about the data?
A. 50% of the temperatures are between 16.5 and 27.5 degrees.
B. 75% of the temperatures are less than 27.5 degrees.
C. 25% of the temperatures are less than 16.5 degrees.
D. 50% of the temperatures are less than 27.5 degrees.
To determine which statements are true about the data, we need to analyze the given temperatures.
Let's organize the data from least to greatest: 2, 15, 18, 22, 25, 27, 28, 30.
Now, let's identify the number of temperatures and calculate the position of the temperatures that correspond to the given percentages.
There are a total of 8 temperatures, so for each percentage, we can find the position of the temperature by multiplying the total count by the given percentage. For example, to find the position for 50%, we multiply 8 by 50% to get 4.
Now, we can check if the statements are true:
A. 50% of the temperatures are between 16.5 and 27.5 degrees.
To check this, we need to see if the temperatures in positions 2 and 6 (since 50% is between positions 4 and 5) fall within the given range.
The temperature in position 2 is 15, which is less than 16.5, so this statement is false.
The temperature in position 6 is 27, which is less than 27.5, so this statement is also false.
Therefore, statement A is false.
B. 75% of the temperatures are less than 27.5 degrees.
To check this, we need to see if the temperature in position 6 falls below the value of 27.5 degrees.
The temperature in position 6 is 27, which is equal to 27.5, so this statement is true.
Therefore, statement B is true.
C. 25% of the temperatures are less than 16.5 degrees.
To check this, we need to see if the temperature in position 2 falls below the value of 16.5 degrees.
The temperature in position 2 is 15, which is less than 16.5, so this statement is true.
Therefore, statement C is true.
D. 50% of the temperatures are less than 27.5 degrees.
To check this, we need to see if the temperature in position 6 falls below the value of 27.5 degrees.
The temperature in position 6 is 27, which is less than 27.5, so this statement is true.
Therefore, statement D is true.
In summary:
A. False.
B. True.
C. True.
D. True.
Statements B, C, and D are true about the data.