Question

consider the following sample data, which represent weights of sea mussels grown on the california coast, in grams: { 1.5, 1.7, 2, 2, 2.1, 2.2, 2.3, 2.3, 2.3, 2.4, 2.5, 2.5, 2.7, 2.7, 2.8, 2.8, 3, 3.1, 3.1 }. first, give the mean of the data set. part 2 of 5 next, give the median of the data set. part 3 of 5 now give the mode of the data set. if there is more than one, write them in order, separated by commas.

Explanation:

Step1: Calculate the sum of data

$1.5 + 1.7+2 + 2+2.1+2.2+2.3+2.3+2.3+2.4+2.5+2.5+2.7+2.7+2.8+2.8+3+3.1+3.1=43.7$

Step2: Calculate the number of data points

There are 19 data - points, $n = 19$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{43.7}{19}=2.3$

Step4: Find the median

The data is already in ascending order. Since $n = 19$ (an odd - numbered data set), the median is the $(\frac{n + 1}{2})$ - th value. $\frac{19+1}{2}=10$ - th value. The 10 - th value in the ordered data set is 2.3.

Step5: Find the mode

The mode is the value that appears most frequently in the data set. The number 2.3 appears 3 times, which is more frequently than any other number. So the mode is 2.3.

Answer:

Part 1 of 5: 2.3
Part 2 of 5: 2.3
Part 3 of 5: 2.3