Which measure of central tendency would you use for the following variables (mean, median or mode). Explain your choice. Gender: _______________________________________________________ Class rank at a college: __________________________________________________ Age of high school students: ________________________________________ A skewed income distribution (90% with incomes under $150K; a few with incomes of several million): ____________________________________________________

||| O DATA ANALYSIS AND STATISTICS Choosing the best measure to describe data Answer the questions below. (a) The 9 members of a fraternity have the following test scores: 118, 119, 121, 124, 125, 127, 129, 130, 182. Which measure should be used to summarize the data? Mean Median Mode (b) In Prof. Allen's class, the 10 students had the following scores on the last midterm: 128, 130, 131, 132, 135, 136, 141, 142, 143, 144. Which measure should be used to summarize the data? Mean Median Mode (c) Each member of the football team was asked to report the year he was born. Which measure gives the most common year of birth? Mean Median Mode X Ś

Populations are different than samples because_________________. (Select all that apply).     a. parameters always have more error than a statistic.     b. the  population is always larger than the sample.     c. Parameters always have less error than a statistic.

ences in your response. Investigation 2: Songs from Spotify - Mode and Popularity A random sample of 3439 songs was selected from the Spotify database and twelve variables were measured for each song. Remember, the Mode variable indicates the type of scale the song's melodic content is derived from (Major or Minor). Popularity is on a scale of 0 to 100 and songs with higher numbers are more popular. Let us now investigate whether Major songs are significantly more "Popular" than Minor songs. Let us define "Popular" as songs that earned a popularity rating of 50 or higher. From the random sample of songs, there were 1964 Major songs and of those 853 were rated "Popular." In addition, there were 1475 Minor songs and of those 587 were rated "Popular." In this invesligation we will subtract (Major - Minor). a) Define the population parameter using context and symbols in one complete sentence. b) State the hypotheses using the claim. c) Check the specific conditions necessary to consider…

Which of the following are potential limitations for a research study? Choose all that apply. Self- selected sample  The sample size is too small  The wording of the survey question influences the response   The sample statistics is not exactly equal to the population parameter  The sample is not representative of the population

A rancher is interested in the average age that a cow begins producing milk. Match the vocabulary word with its corresponding example.  The average age for the 62 observed milk cows as they first produced milk The average age that all milk cows are when they first produce milk The list of the 62 ages The 62 milk cows that were observed by the rancher  All milk cows The age when a milk cow first produced milk   a. Sample b. Data c. Variable d. Statistic e. Parameter f. Population

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Which of the following must be entries from the original data set? the mode the range the third quartile the median the maximum