Question

question #3
which data set has a mean of 35, median of 32, and a mode of 47?
75, 35, 19, 20, 21, 25, 26, 35, 35
68, 53, 10, 15, 47, 18, 47, 25, 32
68, 52, 9, 16, 48, 19, 48, 26, 50
70, 60, 50, 80, 70, 32, 35, 35, 35

question #4
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?
78
74
76
74 and 76

Explanation:

Step1: Sort the data set

Sort the temperature data set in ascending order: \(70,70,70,72,74,74,74,74,74,76,76,76,76,76,78,78,78,78,80,80\)

Step2: Find the median

Since there are \(n = 20\) data points (an even number), 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:

76