Question

question #5
the temperature in degrees fahrenheit for 20 days during the past month was as
follows:
70 76 76 74 70 70 72 74 78 80
74 74 78 76 78 76 74 78 80 76
what is the mode of the temperatures?
o 74
o 74 and 76
o 78
o 76

question #6
find the mode of the data set:
12, 15, 18, 25, 31, 47, 59, 63, 75, 75
39
75
43
42

Explanation:

Step1: Recall the definition of mode

The mode is the value that appears most frequently in a data set.

Step2: Count the frequency of each value in the first data set (Question #5)

• For \(70\): it appears \(3\) times.
• For \(72\): it appears \(1\) time.
• For \(74\): it appears \(5\) times.
• For \(76\): it appears \(5\) times.
• For \(78\): it appears \(3\) times.
• For \(80\): it appears \(2\) times.

Since \(74\) and \(76\) both appear \(5\) times (the highest frequency among all values in this data set).

Step3: Count the frequency of each value in the second data set (Question #6)

• For \(12\): appears \(1\) time.
• For \(15\): appears \(1\) time.
• For \(18\): appears \(1\) time.
• For \(25\): appears \(1\) time.
• For \(31\): appears \(1\) time.
• For \(47\): appears \(1\) time.
• For \(59\): appears \(1\) time.
• For \(63\): appears \(1\) time.
• For \(75\): appears \(2\) times.

Answer:

Question #5: \(74\) and \(76\)
Question #6: \(75\)