Question

what is the range for the data?
15 19 84
23 16 12
55 61 37
your answer
what is the mode for the data? *
13, 12, 15, 13, 16, 15, 11, 20
13 only
20
13 and 15 only
there is no mode
9

Explanation:

Step1: Find the maximum value

The maximum value in the first data set (15, 19, 84, 23, 16, 12, 55, 61, 37) is \(84\).

Step2: Find the minimum value

The minimum value in the first data set is \(12\).

Step3: Calculate the range

The formula for range is \(Range = Max - Min\). So, \(84 - 12=72\).

Step4: Analyze the second data set for mode

The data set is \(13, 12, 15, 13, 16, 15, 11, 20\).

• Count the frequency of each number:
• Frequency of \(11\): \(1\)
• Frequency of \(12\): \(1\)
• Frequency of \(13\): \(2\)
• Frequency of \(15\): \(2\)
• Frequency of \(16\): \(1\)
• Frequency of \(20\): \(1\)
• Since \(13\) and \(15\) both have a frequency of \(2\) (higher than other numbers' frequencies)

Answer:

For the first question (range): \(72\)
For the second question (mode): 13 and 15 only