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Net worth: The board of Governors of the Federal Reserve system publishes information on family net worth in the survey of consumers fiances. In2012the mean net worth of the families in the united state wasrole="math" localid="1650792936700" \(498.8thousand and the median net worth wasrole="math" localid="1650792957167" \)77.3thousand. Which measure of center do you think is more appropriate? Justify your answer.

Short Answer

Expert verified

The median is more appropriate as a measure of center when compared to the mean.

Step by step solution

01

Step 1. Given information. 

Net worth: The board of Governors of the Federal Reserve system publishes information on family net worth in the survey of consumers fiances. In2012the mean net worth of the families in the united state was $498.8thousand and the median net worth was$77.3 thousand.

02

Step 2. Which measure of center do you think is more appropriate? Justify your answer.  

When compared to the mean, the median is a better measure of centre..

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Most popular questions from this chapter

The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60miles per hour (mph) and. according to the online document "Cheetah Conservation in Southern Africa" by J. Urbaniak, the cheetah is capable of speeds up to 72mphThe following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of 35cheetahs.

The sample mean and sample standard deviation of these speeds are 59.53mphand 4.27mph, respectively. A histogram of the speeds is bell shaped.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
d. Compare your answers in parts (b) and (c).

Explain in detail the purpose of a measure of center.

How many standard deviations to either side of the mean must we go to ensure that for any data set, at least 99%of the observations lie within?

A quantitative data set of size150has mean 35 and standard deviation4. At least how many observations lie between 23and 47?

Identify the statistic that is used to estimate

(a) A population mean.

(b) A population standard deviation.

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