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: { 1.8, 1.8, 1.9, 2, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.3, 2.3, 2.4, 2.6, 2.8, 2.9, 3, 3 }. 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. part 4 of 5 give the midrange of the data set. part 5 of 5 given the relationship between the mean and median above, what shape is the distribution likely to be? the distribution will probably be skewed to the left. the distribution will be roughly symmetric. the distribution will probably be skewed to the right.

consider the following sample data, which represent weights of sea mussels grown on the california coast, in grams: { 1.8, 1.8, 1.9, 2, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.3, 2.3, 2.4, 2.6, 2.8, 2.9, 3, 3 }. 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. part 4 of 5 give the midrange of the data set. part 5 of 5 given the relationship between the mean and median above, what shape is the distribution likely to be? the distribution will probably be skewed to the left. the distribution will be roughly symmetric. the distribution will probably be skewed to the right.

Answer

Explanation:

Step1: Calculate the sum of data

$1.8\times2 + 1.9+2+2.1\times2+2.2\times2+2.3\times5+2.4+2.6+2.8+2.9+3\times2$ $=3.6+1.9 + 2+4.2+4.4+11.5+2.4+2.6+2.8+2.9+6$ $=42.3$

Step2: Calculate the number of data points

There are $2 + 1+1+2+2+5+1+1+1+1+2=18$ data - points.

Step3: Calculate the mean

The mean $\bar{x}=\frac{42.3}{18}=2.35$

Step4: Calculate the mid - range

The mid - range is $\frac{\text{min value}+\text{max value}}{2}=\frac{1.8 + 3}{2}=2.4$

Step5: Analyze the distribution shape

Since the mean ($2.35$) is less than the median ($2.3$), the distribution will probably be skewed to the left.

Answer:

Part 1: $2.35$ Part 2: $2.3$ Part 3: $2.3$ Part 4: $2.4$ Part 5: The distribution will probably be skewed to the left.