Question

consider the following sample data, which represent weights of sea mussels grown on the california coast, in grams: {1.4, 1.8, 1.8, 1.9, 1.9, 1.9, 2, 2, 2.1, 2.2, 2.3, 2.3, 2.3, 2.3, 2.5, 2.5, 2.5, 2.6, 2.6}. first, give the mean of the data set. next, give the median of the data set. now give the mode of the data set. if there is more than one, write them in order, separated by commas. give the midrange of the data set.

Explanation:

Step1: Calculate sum of data

$1.4 + 1.8+1.8 + 1.9+1.9+1.9+2+2+2.1+2.2+2.3+2.3+2.3+2.3+2.5+2.5+2.5+2.6+2.6=40.8$

Step2: Determine number of data points

There are 19 data - points.

Step3: Calculate mean

$\text{Mean}=\frac{40.8}{19}\approx2.15$

Step4: Find median

Arrange data in ascending order (already done). Since there are 19 data - points (an odd number), the median is the 10th value. So the median is 2.2.

Step5: Calculate mid - range

The smallest value is 1.4 and the largest value is 2.6. $\text{Mid - range}=\frac{1.4 + 2.6}{2}=2$

Answer:

Part 1: 2.15
Part 2: 2.2
Part 4: 2