Question

mathematics math 003 fall 2025 work: unit 4 - mean, median and mode, and question 6, 7.3.3 part 1 of 3 hw score: 26.09%, 12 of 46 points points: 0 of 1 for the given set of numbers, find the mean, the median, and the mode. if necessary, round the mean to one decimal place. 5.6, 6.2, 6.2, 7.6, 3.7, 7.1 the mean is (round to one decimal place as needed.)

Explanation:

Step1: Calculate sum of numbers

$5.6 + 6.2+6.2 + 7.6+3.7+7.1=36.4$

Step2: Calculate number of values

There are 6 numbers.

Step3: Calculate the mean

The mean formula is $\frac{\text{sum of values}}{\text{number of values}}$. So, $\frac{36.4}{6}\approx6.1$

Step4: Arrange numbers in ascending order

$3.7,5.6,6.2,6.2,7.1,7.6$

Step5: Calculate the median

Since there are 6 (an even - numbered) values, the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers. So, $\frac{6.2 + 6.2}{2}=6.2$

Step6: Determine the mode

The mode is the number that appears most frequently. Here, 6.2 appears twice and other numbers appear once, so the mode is 6.2

Answer:

The mean is 6.1, the median is 6.2, the mode is 6.2