# Statistics CH 3

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 Which measure of central tendency works for nominal variables? -No measures work for nominal variables -Median -Mode -Mean Mode Which measure of central tendency is most appropriate for skewed distributions? -Median -No measure is appropriate -Mean -Mode Median When a histogram or polygon chart for a quantitative variable has two distinct peaks, then the distribution is referred to as _____. -unimodal -symmetrical -bimodal -dichotomous bimodal What is the mode for the following data set? 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 7 7+ -7+ -Cannot be determined -4 -2 2 What is the median for the following data set? 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 7 7+ -7+ -Cannot be determined – 2 – 4 4 The three most common measures of central tendency are: – variance, standard deviation, IQR -mean, median, mode – inferential, descriptive, explanatory – nominal, ordinal, ratio mean, median, mode What is the minimum level of measurement needed to calculate the mode? – nominal – interval – ratio – ordinal nominal What is the median for these data? 5, 1, 1, 3, 2 -cannot be calculated -1 -2 -2.4 2 Which of these measures is LEAST affected by outliers? -median -mean -standard deviation -geometric mean median Which measure of central tendency is LEAST efficient? – mode -all are the same -mean -median mode Which of the following is NOT a measure of central tendency? -mode – median -mean -standard deviation standard deviation What is the minimum level of measurement needed to calculate the median? -ratio -nominal – interval – ordinal ordinal What is the mean for these data? 3, 1, 2, 5, 3, 4 – 6 – 3.5 – cannot be calculated – 3 3 In a negatively skewed distribution, which measure will generally have the highest value? – all are the same – median – mode – mean mode Which measure of central tendency is MOST influenced by outliers? – mode – mean – all are the same – median mean In a positively skewed distribution, which measure will generally have the highest value? – mode – all are the same – median – mean mean Question 2 1 / 1 pts What is the minimum level of measurement needed to calculate the mean? – ordinal – nominal – interval – ratio interval Which measure of central tendency is MOST affected by outliers? – all are the same – mean – mode – median mean What is the mean for these data? 3, 1, 2, 5+, 2, 4 – 3 – 6 – 2.5 – cannot be calculated cannot be calculated What is the median for these data? 3, 1, 2, 5+, 2, 4 – cannot be calculated – 2.5 – 3 – 6 2.5 Which of these measures of central tendency works for nominal variables? – The mean – Both the mean and the median work for nominal variables. – Neither the mean nor the median works for nominal variables. – The median Neither the mean nor the median works for nominal variables. When a histogram for a quantitative variable has only one distinct peak, then the distribution is referred to as… – unimodal. – symmetrical. – normal. – ideal. unimodal What is the mode for the following data set? 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 7 7+ – 3 – 2 – Cannot be determined – 7+ 2 For which levels of measurement can you calculate the mode? – Interval only – Neither ordinal nor interval – Ordinal only – Both ordinal and interval Both ordinal and interval Which of these measures is MOST affected by outliers? – They are all affected identically – The mode – The mean – The median The mean Which of the following measures of central tendency can be used with data on the ratio level of measurement? – The mean or the mode – The mode only – The mean only – Neither the mean nor the mode The mean or the mode What is the mean for these data? 4, 2, 3, 6, 4, 5 – 4.5 – Cannot be calculated – 5 – 4 4 Which measure of central tendency is always influenced by outliers? – The median – The mean – The mode – They are all affected identically The mean What is the highest level of measurement? – Ratio – Interval – Ordinal – Nominal Ratio What is the mode for these data? 3, 1, 2, 5+, 2, 4 – 2.5 – 2 – 6 – Cannot be calculated 2

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