Statistics > EXAM > STONE 2-Sophia Statistics Unit 2 Milestone (All)
The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a standard deviation of 4. On a particular day, 52 mobile phones were sold. What is the z-sco... re of the sale of mobile phones on that day? -28 28 1.75 -1.75 RATIONALE Recall that the z-score can be calculated with the following formula: The given value is 52 phones, the mean is 45 phones, and the standard deviation is 4 phones. Plug these values in to get the following z-score: This also tells us that 52 is 1.75 z-scores or standard deviations above the mean. CONCEPT Standard Scores and Z-Scores I need help with this question 2 In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be . 41° 5° 150° 124° RATIONALE Recall that to get the angle for something in a pie chart we use the following formula: open parentheses fraction numerator v a l u e over denominator t o t a l space v a l u e end fraction close parentheses times 360 degree So in this case, the central angle for the chocolate ice cream sector would be: CONCEPT Bar Graphs and Pie Charts I need help with this question 3 The first quartile (Q1) value from the above box plot is . 47 40 65 54 RATIONALE Note the value for Q1 is the left edge of the box, which is 47. CONCEPT Five Number Summary and Boxplots I need help with this question 4 Select the statement that accurately describes unimodal distribution. A distribution in which two distinct values are more frequent than the other values. A distribution in which the values are distributed uniformly. A distribution in which one value is more frequent than other values. A distribution in which numerous values are more frequent than other values. RATIONALE Recall the mode is the most frequently occurring value. If a distribution is unimodal, it simply means there is one value that occurs most frequently. CONCEPT Shapes of Distribution I need help with this question 5 Choose the statement that correctly describes a normal distribution. Approximately 68% of the values are greater than the mean value. The approximate percent of values lying within three standard deviations of the mean is 49.85%. Approximately 68% of the values lie within one standard deviation of the mean. The approximate percent of values lying within two standard deviations of the mean is 47.5%. RATIONALE The normal distribution follows the empirical rule. This tells us that within one standard deviation of the mean, we should find roughly 68% of the data. CONCEPT Normal Distribution I need help with this question 6 Sara wonders what percentage of her students answered at least half of the quiz questions incorrectly. CONTINUED...................... [Show More]
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