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Chapter 3: Q. 3.208 (page 147)

Chinchillidae Range. The family of mammals called Chinchillidae contains the chinchilla and viscachas, which are large South American rodents. The article. "Species Richness and Distribution of Neotropical Rodents, with Conservation Implications" (Mammalia Vol. 77, Issue 1. pp. 1-19) by G. Amori et al reports the range sizes of each species of Chinchilladac. There are six species in the Chinchillidae family and the size of each species range, in square kilometers (km2) is given in the following table.


a. Obtain and interpret the population mean range of Chinchilladae species

b. Obtain and interpret the population standard deviation of the ranges of Chinchilladae species.

Short Answer

Expert verified

(a) The mean is, 渭鈮�524515.045

(b) The standard deviation is,蟽鈮�709644.3094km2

Step by step solution

01

Part (a) Step 1: Given information

We are given that,

Total no. of values, n=6

And the values are,

370954.56,762822.31,11213.32,2070.38,11943.02.1988086.68

02

Part (a) Step 2: Simplify

We know that,

Mean is given as,

渭=Sumofvaluesno.ofvalues=370954.56+762822.31+11213.32+2070.38+11943.02+1988086.686=3147090.276鈮�524515.045

03

Part (b) Step 1: Given information

We need to find out the standard deviation of the data.

04

Part (b) Step 2: Simplify

We know that,

Standard deviation is the square root of the variance and variance is the sum of squared deviations from the mean divided by n

Hence, Standard deviation is,蟽=370954.56-524515.0452+....+1988086.68-524515.04526=-153560.4852+...+1463571.63526鈮�709644.3094

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Most popular questions from this chapter

In this exercise, you will compare Chebyshev's rule and the empirical rule.

a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. Comment on the differences.

b. Compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. Comment on the differences.

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

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).

We have provided simple data sets for you to practice finding the descriptive measures discussed in this section. For each data set.

Obtain the quartiles, determine the inter quartile range, find the five-number summary.

1,2,3,4,1,2,3,4

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?
See all solutions

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