quiz: quiz unit 4 - statistics\nfor the given set of numbers, find the mean, the median, and the mode. if…

quiz: quiz unit 4 - statistics\nfor the given set of numbers, find the mean, the median, and the mode. if necessary, round the mean to one decimal place.\n0.4, 0.5, 0.7, 0.8, 0.8, 1.1, 0.4, 0.9, 1.3\nthe mean is . (round to one decimal place as needed.)\nthe median is . (round to one decimal place as needed.)\nwhat is the mode? select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the mode is . (use a comma to separate answers as needed.)\nb. there is no mode.

quiz: quiz unit 4 - statistics\nfor the given set of numbers, find the mean, the median, and the mode. if necessary, round the mean to one decimal place.\n0.4, 0.5, 0.7, 0.8, 0.8, 1.1, 0.4, 0.9, 1.3\nthe mean is . (round to one decimal place as needed.)\nthe median is . (round to one decimal place as needed.)\nwhat is the mode? select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the mode is . (use a comma to separate answers as needed.)\nb. there is no mode.

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, $n = 9$, and $\sum_{i=1}^{9}x_{i}=0.4 + 0.5+0.7+0.8+0.8+1.1+0.4+0.9+1.3 = 6.9$. So, $\bar{x}=\frac{6.9}{9}\approx0.8$.

Step2: Calculate the median

First, arrange the data in ascending order: $0.4,0.4,0.5,0.7,0.8,0.8,0.9,1.1,1.3$. Since $n = 9$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{9+1}{2}=5$-th value. So the median is $0.8$.

Step3: Calculate the mode

The mode is the value that appears most frequently in the data - set. The number $0.4$ appears 2 times and $0.8$ appears 2 times, and other numbers appear only once. So the modes are $0.4,0.8$.

Answer:

The mean is $0.8$. The median is $0.8$. A. The mode is $0.4,0.8$.