on a warm day, jonas recorded the number of sales of snow cones in his neighborhood. he calculated 63, 46…
on a warm day, jonas recorded the number of sales of snow cones in his neighborhood. he calculated 63, 46, 29, 33 in four different hours of the day. what is the mean and range of the data set? a the mean is 42.25 and the range is 92. b the mean is 171 and the range is 34. c the mean is 40 and the range is 30. d the mean is 42.25 and the range is 34.
Answer
Explanation:
Step1: Calculate the mean
The formula for the mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here, $n = 4$, $x_1=63$, $x_2 = 46$, $x_3=29$, $x_4 = 33$. Then $\sum_{i=1}^{4}x_i=63 + 46+29+33=171$, and $\bar{x}=\frac{171}{4}=42.25$.
Step2: Calculate the range
The range of a data - set is the difference between the maximum and the minimum values. The maximum value in the data - set ${63,46,29,33}$ is $63$ and the minimum value is $29$. So the range $R=63 - 29=34$.
Answer:
D. The mean is 42.25 and the range is 34.