Find the median of each set of numbers.
#14. 1, 4, 9, 15, 25, 36

Find the mode of each set of numbers.
#18. 41, 43, 56, 67, 69, 72

#20. 9, 8, 10, 9, 9, 10, 8

Solve the following applications.
24. Statistics. A salesperson drove 238, 159, 87, 163, and 198 miles (mi) on a 5-day trip. What was the mean number of miles driven per day?

#36 Business and finance.
The following scores were recorded on a 200-point final examination:
193, 185, 163, 186, 192, 135, 158, 174, 188, 172, 168, 183, 195, 165, 183.
(a) Find the mean final examination score.
(b) Find the median final examination score.
(c) Is the mean or median a more useful representative of the final examination scores? Write a brief paragraph justifying your response.

Solution Preview

#14.

Median of 1, 4, 9, 15, 25, 36 = 12

#18.

Mode of 41, 43, 56, 67, 69, 72 = N/A, all are equal occurrences

Mode of 9, 8, 10, 9, 9, 10, 8 = 9

#24.

169 miles

#36.

(a) Mean = 176
(b) Median = 183
(c) Mean and median are measures of central tendency in a data set. Mean and median both examine where, in a data set, numbers are likely to occur with the most frequency. However, depending upon the type of data set, one can be a better way than another of evaluating data and coming up with statistical results.

Please review problem and verify the solution.
problem
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In the algorithm SELECT, the input elements are divided into groups of 5. Will the algorithm work in linear time if they are divided into groups of 7? Argue that SELECT does not run in linear time if groups of 3 are used.
solution
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Use groups o

The vibrational modes of a molecule are assigned symmetry labels that tell us something about the symmetry of the vibrational mode. Given the symmetry labels below, specify what each part of the symbol means.
a) E_2g
b) (A_1)'

Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, which is the point that lies one-third of the way from each side toward the opposite vertex. Find the centroid of the triangle whose vertices are (0,0), (a,0) and (0,b). Assume a > 0 and b >0.

Acetylene has two C=H groups. It will have two C-H stretching frequencies, the in-phase and out-phase stretching modes. The in-phase (symmetric) stretch occurs at 3374/cm and the out of phase stretch at 3333/cm. Explain why the in phase vibration is located at a higher frequence than the out of phase stretch in the case of a

Determining if a mean price of a home with a pool is equal to the mean price of a home without will require the research team to calculate a score that will be compared with a critical value. A comparison of mean populations will allow the team to discover if the two variables vary significantly, which may answer many types of q

1) Let X be a discrete random variable with probability mass function Pr{X=k}= c/(1+(k^2)) for k= -2,-1, 0, 1, 2.
a) determine Pr{x <= 0}
(b) Determine the mean of X
(c) Determine all medians of X
(d) Compute Pr{X=2 | X >= 0}
(e) Determine the cumulative distribution function

The following questions is related to TELNET. A user types cp file1 file2. What is the minimum number of TCP segments exchanged if the transfer uses the following mode. Explain your answer.
i. default mode
ii. character mode
iii. line mode.

The following sample data were obtained from three populations that did not follow a normal distribution.
sample 1 sample 2 sample 3
50 48 39
54 49 41
59 49 44
59 52