Measures of Central Tendency: Mean, Median; constructing CI

The breaking strengths of cables produced by a certain manufacturer have a standard deviation of pounds. A random sample of newly manufactured cables has a mean breaking strength of pounds. Based on this sample, find a confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.

Which measures of central tendency do not exist for this data set?
Mean
Median
None
None of these measures

Suppose that the measurement 95 (the largest measurement in the data set) were replaced by 148. Which measures of central tendency would be affected by the changed? Choose all that apply.
Mean
Median
None
None of these measures

Suppose that starting with the original data set the largest measurement were to removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.

Mean
Median
None
None of these measures

Which of the following best describes the distribution of the orginal data set

(b) Mean=74.4 [add the 21 numbers and then divide by 21]
Median=74 [middle number in the ordered list]

(c) Mean=76.95
The mean will be affected by the change. The median will ...

Solution Summary

In this problem we examine the mean and the median. How is the mean and median affected by removing a value from a set of data? How is the mean and median affected by changing a value in a data set. These questions are looked into after the mean and median of a set of data is calculated. Step-by-step solution is provided. 95% confidence interval about the mean is calculated, as well. A Word document is included.

Does all statistical data have a mean, median, or mode? Why? When is the mean the best measure of central tendency? When is the median the best measure of central tendency?

1. How many intervals should there be in a frequency table?
2. What measure of central tendency would be most appropriate for a measurement of salaries if the salaries are normally distributed, why did you choose the measure that you did?
3. What measure of central tendency would be most appropriate for a measurement of salari

You must decide which group to choose. Consider at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice. Be sure to justify your choice with at least one page of discussion and analysis. Can you base a decision on the information provided and the measu

1.Given the data set
Values of X
13,12,9,15,11,16,17,8,12,7,12
A. Calculate the mean.
B. Calculate the median.
C. Calculate the mode.
D. Calculate the range.
E. Calculate the variance.
F. Calculate the coefficient of variation
G. Calculate the coefficient of variation.
H. Calculate the standard error of the mean.

1) Over the past several months, customers at Stymie's department store have been asked to fill out customer satisfaction surveys. In the surveys, the customers rate their shopping experience on a scale of 0 to 100. Here are 25 recent ratings:
13, 16, 16, 21, 24, 33, 34, 37, 41, 45, 45, 49, 51, 56, 56, 56, 58, 61, 66, 70, 76,

For the following measurement scales, indicate the measures of central tendency that are appropriate.
a. nominal scale
b. ordinal scale
c. interval scale
d. ratio scale

- Think about how statistics often is concerned with estimating the center of a distribution by using the mean, median, and sometimes the mode.
- Bring to mind a real-world example in which one measure of central tendency provides useful information for the example while another measure of central tendency provides meaningles