In April 2025
Search & Filtering
Find the range, variance, and standard deviation unless the question asks for something different.
Passenger Vehicle Deaths. The number of people killed in each state from passenger vehicle
crashes for a specific year is shown
778 309 1110 324 705
1067 826 76 205 152
218 492 65 186 712
193 262 452 875 82
730 1185 2707 1279 390
305 123 948 343 602
69 451 951 104 985
155 450 2080 565 875
414 981 2786 82 793
214 130 396 620 797
Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.
Observers in the Frogwatch Program. The number of observers in the Frogwatch USA
program (a wildlife conservation program dedicated to helping conserve frogs and toads) for the
top 10 states with the most observers is 484, 483, 422, 396, 378, 352, 338, 331, 318, and 302. The
top 10 states with the most active watchers list these numbers of visits: 634, 464, 406, 267, 219,
194, 191, 150, 130, and 114. Compare the measures of central tendency for these two groups of
data
A. Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.
High Temperatures. The reported high temperatures (in degrees Fahrenheit) for selected world
cities on an October day are shown below. Which measure of central tendency do you think best
describes these data?
62 42
76 38
66 91
79 66
83 77
61 90
62 74
85 63
72 64
64 68
74 42
71
Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.
Grade Point Averages. The average undergraduate grade point average (GPA) for the 25
top-ranked medical schools is listed below
3.80 3.77 3.70 3.74 3.70
3.86 3.76 3.68 3.67 3.57
3.83 3.70 3.80 3.74 3.67
3.78 3.74 3.73 3.65 3.66
3.75 3.64 3.78 3.73 3.64
Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with a standard deviation of 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 2 milligrams of the population mean.
A random sample of 14 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.7 milligrams. Is this in line with the manufacturer's claim that the average nicotine content does not exceed 6.3 milligrams? Use 0.01 level of significance.
An auto battery company claims that their batteries' mean life is 50 months. In order to check this cla, a DTI researcher took a random sample 18 of these batteries and found that the mean life is 48.8 months with standard deviation of 7 months. Aasume the battery life follows a normal destribution, test with 90% confidence wether the companies'claim is different from the true mean.
In a survey of 120 professors, a research found that 50 preferred traditional method of teaching, 78
preferred computer-aided method, and 66 preferred group method. In addition, 36 preferred any of
the two methods of teaching and 24 professors preferred them all.
a. Find the number of professors who prefer at least one of the teaching methodologies
b. Find the number of professors who do not prefer any of the teaching methodology
Let A = {1, 2, 3, 4}, B = {3, 4, 5, 6, 7}, C = {2, 3, 8, 9}. Perform the following
a.
𝐴∪𝐵
b.
𝐴∩𝐵
c.
𝐴∪𝐶
d.
𝐴∩𝐶
1. The mean lifetime of a sample of 100 light bulbs produced by a certain company is found to be 1580 hours. Test the hypothesis at 5% level of significance that the mean lifetime of the light bulbs produced by the company is 1,600 hours with sd of 90 hours.
