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Chapter 3: Numerically Summarizing Data Section 3.1: Measures of Central Tendency; i.e., Where is the dataset centered? Section 3.2: Measures of Dispersion;

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Presentation on theme: "Chapter 3: Numerically Summarizing Data Section 3.1: Measures of Central Tendency; i.e., Where is the dataset centered? Section 3.2: Measures of Dispersion;"— Presentation transcript:

1 Chapter 3: Numerically Summarizing Data Section 3.1: Measures of Central Tendency; i.e., Where is the dataset centered? Section 3.2: Measures of Dispersion; i.e., How spread out is the dataset?

2

3 Given the data: 2, 2, 9, 4, 8 Question 1: Mean = ? (A)2 (B) 4 (C) 5 (D) 9 Question 2: Mode = ? (A)2 (B) 4 (C) 5 (D) 9 Question 3: Median = ? (A)2 (B) 4 (C) 5 (D) 9

4 Given the data: 2, 2, 9, 4, 8, 9 Question 1: Median = ? (A)4 (B) 5.66 (C) 6 (D) There is no median Question 2: Mode = ? (A)2 (B) 6 (C) 2 & 9 (D) There is no mode

5 The shape of this distribution is? (A)Symmetric (B)Skewed Left (C)Skewed Right (D)Bimodal

6 Which one is true for these data? (A)median = mean (B)median < mean (C)median > mean (D) None are true

7 Why do economists typically use median instead of mean when discussing income or home prices? A.It’s a tradition in economics. B.The median uses every data point. C.The median is resistant to extreme values. D.The median is easier to calculate.

8 Which statistic is most appropriate for qualitative data? A.Mean B.Median C.Mode D.None of the above are ever appropriate.

9 What can cause bimodal data? A.Sampling data from two different symmetric populations as though they were one population. B.Simple chance C.Missing data D.Too much data.

10 Common measures of dispersion

11 Given the data: 2, 2, 9, 4, 8 Range=? (A) 2 (B) 6 (C) 7 (D) 9 S = ? (A) 0 (B) 3.3 (C) 8.8 (D) 11

12 Using the data: 7, 7, 7, 7, 7 The standard deviation = ?

13 A.34 B.The interval (26,34), including 26 and 34. C.The interval (34,26), including 26 and 34. D.Both B and C.

14 Suppose the mean test score on an exam for a very large number of students was 80 with a sd of 5. Assume the scores were distributed according to a bell- shaped distribution. Which one of the following is false? A.About 68% of the scores were between 75 and 85. B.About 99.7% of the scores were between 70 and 90. C.About half the scores were below 80. D.About 13.5% of the scores were between 85 and 90.

15 Empirical Rule gives us some rough use of the SD value Uses the “normal distribution” 68% 95% 99.7%


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