In a certain data following results were obtained: Mean = 54, Median= 57, Coefficient of Skewness= -0.6. from these results find the standard deviation.
a. 30
b. -5
c. 15
d. incomplete information
Answers
Answer:
In a certain data following results were obtained: Mean = 54, Median= 57, Coefficient of Skewness= -0.6. from these results find the standard deviation.
a. 30
b. -5
c. 15
d. incomplete information
Explanation:
-5
Answer:
Explanation:
The histogram displays a symmetrical distribution of data. A distribution is symmetrical if a vertical line can be drawn at some point in the histogram such that the shape to the left and the right of the vertical line are mirror images of each other. The mean, the median, and the mode are each seven for these data. In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.
The histogram for the data: 4566677778 is not symmetrical. The right-hand side seems “chopped off” compared to the left side. A distribution of this type is called skewed to the left because it is pulled out to the left. We can formally measure the skewness of a distribution just as we can mathematically measure the center weight of the data or its general “speadness”. The mathematical formula for skewness is: {a}_{3}=\sum \frac{{\left({x}_{i}-\overline{x}\right)}^{3}}{n{s}^{3}}. The greater the deviation from zero indicates a greater degree of skewness. If the skewness is negative then the distribution is skewed left as in (Figure). A positive measure of skewness indicates right skewness such as (Figure).
This histogram matches the supplied data. It consists of 5 adjacent bars with the x-axis split into intervals of 1 from 4 to 8. The peak is to the right, and the heights of the bars taper down to the left.
The mean is 6.3, the median is 6.5, and the mode is seven. Notice that the mean is less than the median, and they are both less than the mode. The mean and the median both reflect the skewing, but the mean reflects it more so.
The histogram for the data: 67777888910, is also not symmetrical. It is skewed to the right.
This histogram matches the supplied data. It consists of 5 adjacent bars with the x-axis split into intervals of 1 from 6 to 10. The peak is to the left, and the heights of the bars taper down to the right.
The mean is 7.7, the median is 7.5, and the mode is seven. Of the three statistics, the mean is the largest, while the mode is the smallest. Again, the mean reflects the skewing the most.