Question

for the given set of numbers, find the mean, the median, and the mode. if necessary, round the mean to one decimal place. 0.9, 1.1, 1.2, 1.3, 1.3, 1.6, 0.9, 1.4, 1.8 the mean is . (round to one decimal place as needed.)

Explanation:

Step1: Calculate sum of numbers

$0.9 + 1.1+1.2 + 1.3+1.3+1.6+0.9+1.4+1.8=11.5$

Step2: Calculate number of elements

There are 9 numbers.

Step3: Calculate the mean

$\text{Mean}=\frac{11.5}{9}\approx1.3$

Step4: Arrange numbers in ascending order

$0.9,0.9,1.1,1.2,1.3,1.3,1.4,1.6,1.8$

Step5: Find the median

Since there are 9 (odd) numbers, the median is the 5 - th number, which is $1.3$.

Step6: Find the mode

The number $0.9$ and $1.3$ both appear 2 times, more frequently than other numbers, so the modes are $0.9$ and $1.3$.

Answer:

The mean is $1.3$, the median is $1.3$, the modes are $0.9$ and $1.3$.