Question

question #7 if every data value in a set of data occurs only once, what is the mode of the data? one mode no mode two modes multiple modes question #8 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 median of the temperatures? 76 74 78 74 and 76

Explanation:

Question #7

Step1: Recall the definition of mode

The mode is the data value that occurs most frequently.

Step2: Analyze the given data situation

If every data value occurs only once, there is no value that occurs more frequently than others.

Question #8

Step1: Sort the data

Sort the temperatures: \(70,70,70,72,74,74,74,74,74,76,76,76,76,76,78,78,78,78,80,80\)

Step2: Find the median

Since \(n = 20\) (even), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. \(\frac{n}{2}=10\), \(\frac{n}{2}+1 = 11\). The 10th value is \(76\) and the 11th value is \(76\). The median is \(\frac{76 + 76}{2}=76\)

Answer:

Question #7: No mode
Question #8: 76