The sample mean is an unbiased estimate of the population
mean. This tells us that the mean of all sample means is equal to the
population mean. Since we know that the population mean is 5.67, we also know
that the mean of sample means is also 5.67.
The solution we will need to go is 2x + 3x + 5x = 180
10x = 180
x = 180/10
x = 18
2x = 36
3x = 54
5x = 90
(Just substitute that 18 on the x and it will give you the answer for the measurement of the angle measures.
In order to make a frequency plot first we need to find the proportion of each outcome.
Total number of results = 15+20+5+5+5 = 50
Frequency of 0 = 15
Proportion of 0 = 15/50 = 0.3
Frequency of 1 = 20
Proportion of 0 = 20/50 = 0.4
Frequency of 2 = 5
Proportion of 2 = 5/50 = 0.1
Frequency of 3 = 5
Proportion of 3 = 5/50 = 0.1
Frequency of 4 = 5
Proportion of 4 = 5/50 = 0.1
Now we need to plot the data on a frequency plot. The x-axis shows the outcomes from 0 to 4 and y-axis shows the frequency of each outcomes. The frequency plot is shown in the figure attached with.
An odd number of negative factors will give you a negative.