nightly low temperatures (f°): 24, 27, 18, 39, 30, 31, 34\nmean = ______ median = ______\nmode(s) = ______…
nightly low temperatures (f°): 24, 27, 18, 39, 30, 31, 34\nmean = ______ median = ______\nmode(s) = ______ range = ______
Answer
Explanation:
Step1: Calculate the mean
The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 7$, and $\sum_{i=1}^{7}x_{i}=24 + 27+18 + 39+30+31+34=203$. So, $\bar{x}=\frac{203}{7}=29$.
Step2: Calculate the median
First, arrange the data in ascending order: $18,24,27,30,31,34,39$. Since $n = 7$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$-th value, so the median is $30$.
Step3: Calculate the mode
The mode is the value that appears most frequently in the data - set. In the set ${24,27,18,39,30,31,34}$, each value appears only once, so there is no mode (or we can say the mode is none).
Step4: Calculate the range
The range is the difference between the maximum and minimum values in the data - set. The maximum value is $39$ and the minimum value is $18$. So, the range is $39−18 = 21$.
Answer:
mean = $29$ median = $30$ mode(s) = none range = $21$