consider the following sample data, which represent weights of sea mussels grown on the california coast, in…

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.

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.

Answer

Explanation:

Step1: Calculate the sum of data

Sum = $1.4 + 1.8+1.8 + 1.9+1.9+1.9+2+2+2.1+2.2+2.3+2.3+2.3+2.3+2.5+2.5+2.5+2.6+2.6$ Sum = $41.4$

Step2: Calculate the number of data points

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

Step3: Calculate the mean

Mean = $\frac{Sum}{n}=\frac{41.4}{19}\approx2.18$

Step4: Find the median

Since $n = 19$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{19+1}{2}=10$-th value. Arrange the data in ascending order (already given in ascending order), the 10 - th value is $2.2$

Step5: Find the mode

The mode is the value that appears most frequently. The number $2.3$ appears 4 times, more frequently than any other number.

Answer:

Part 1: $2.18$ Part 2: $2.2$ Part 3: $2.3$