FiltersDone

Question type

Essay

Multiple Choice

Short Answer

True False

Matching

Exam 3: Numerically Summarizing Data

Show Answer

Share

---

All types

Filters

Study FlashcardsPractice ExamLearn

Question 71

Multiple Choice

Review LaterAdd Note

Review Later

In distributions that are skewed to the right, what is the relationship of the mean, median, and mode?

A) mean > median > mode
B) median > mean > mode
C) mode > median > mean
D) mode > mean > median

Correct Answer

verified

Show Answer

Question 72

Multiple Choice

Review LaterAdd Note

Review Later

Eleven high school teachers were asked to give the number of students in their classes. The sample datafollows. Would any of the class sizes be considered an outlier? $36,31,30,31,20,19,24,34,21,28,24$

A) No
B) Yes

Correct Answer

verified

Show Answer

Question 73

Multiple Choice

Review LaterAdd Note

A study was designed to investigate the effects of two variables - (1) a studentʹs level of mathematical anxietyand (2) teaching method - on a studentʹs achievement in a mathematics course. Students who had a low levelof mathematical anxiety were taught using the traditional expository method. These students obtained a meanscore of 480 with a standard deviation of 20 on a standardized test. Assuming no information concerning theshape of the distribution is known, what percentage of the students scored between 440 and 520?

The ages of five randomly selected students in the biology department at a private university are 30, 26, 27, 25,and 29. Calculate the sample variance of these ages.

The distribution of salaries of professional basketball players is skewed to the right. Which measure of centraltendency would be the best measure to determine the location of the center of the distribution?

A student receives test scores of 62, 83, and 91. The studentʹs term project score is 88 and her homework scoreis 76. Each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homeworkgrade is 15% of the final grade. What is the studentʹs mean score in the class?

A group of 79 students were asked how far they commute to work from home each time they go to work fromhome. The results are given below. Would a drive of 15 miles be considered an outlier? $\begin{array} { | c | c | } \hline \begin{array} { c } \text { Miles } \\\text { traveled }\end{array} & \text { Frequency } \\\hline 1 & 1 \\\hline 2 & 2 \\\hline 3 & 12 \\\hline 4 & 18 \\\hline 5 & 7 \\\hline 6 & 10 \\\hline 7 & 10 \\\hline 8 & 11 \\\hline 9 & 5 \\\hline 10 & 3 \\\hline\end{array}$

In interpreting a boxplot of a data set we note that the median is to the left of the center of the box and the rightline is longer than the left line. We can conclude that

True or False: The variance of a population is the arithmetic average of the squared deviations about thepopulation mean.

Each year advertisers spend billions of dollars purchasing commercial time on network sports television. In thefirst 6 months of the year, advertisers spent $1.1 billion. A recent article listed the top 10 leading spenders (inmillions of dollars) : $\begin{array} { l r l r } \text { Company A } & \$ 73.2 & \text { Company F } & \$ 24.6 \\\text { Company B } & 61.7 & \text { Company G } & 24.4 \\\text { Company C } & 57 & \text { Company H } & 23.9 \\\text { Company D } & 56.4 & \text { Company I } & 23 \\\text { Company E } & 28.5 & \text { Company J } & 19.2\end{array}$ Calculate the median.

The commuting times of ten employees (in minutes) are listed below. Find the mode score.65 66 67 66 67 70 67 70 71 68

The heights of ten female students (in inches) in a college math class are listed below. Find the mean.65 66 67 66 67 70 67 70 71 68

Which measure of central tendency is more representative of the typical observation if the graph of the data isskewed to the right?

The median of a data set for a variable is the data value that

The following data represent the bachelor degrees of CEOʹs at area small businesses. Determine the modedegree. $\begin{array} { l | c } \text { Degree } & \text { Number } \\\hline \text { Accounting } & 29 \\\text { Business } & 42 \\\text { Liberal Arts } & 5 \\\text { Marketing } & 24 \\\text { Other } & 7\end{array}$

The graph below is an ogive of scores on a math test. The vertical axis in an ogive is the cumulative relativefrequency and can also be interpreted as a percentile. Use the graph to approximate the percentile rank of an individual whose test score is 60.

The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standarddeviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and 130.

A 1-pound bag of peanuts contains 430 peanuts. The distribution of weights in grams of the peanuts is givenbelow . What is the mean weight of a peanut? $\begin{array} { | l | l | } \hline \begin{array} { l } \text { Weights } \\\text { (grams) }\end{array} & \multicolumn{1}{|c|} { \text { Frequency } } \\\hline 0.755 - 0.814 & 3 \\\hline 0.815 - 0.874 & 2 \\\hline 0.875 - 0.934 & 2 \\\hline 0.935 - 0.994 & 2 \\\hline 0.995 - 1.054 & 168 \\\hline 1.055 - 1.114 & 241 \\\hline 1.115 - 1.174 & 12 \\\hline\end{array}$

Given the following five-number summary, find Q3.2.9, 5.7, 10.0, 13.2, 21.1.

Last year batting averages in professional baseball averaged 0.266 with a high of 0.334 and a low of 0.228(minimum 250 at-bats) . Based on this information, which measure of variation could be calculated?