Chapter 3 Data Description Section 3-2 Measures of Central Tendency.

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Presentation transcript:

Chapter 3 Data Description Section 3-2 Measures of Central Tendency

Chapter 3 Data Description Section 3-2 Exercise #3

MD: 1, 2, 3, 3, 7, 11, 18, 30, 61 MD: 7

MD: 1, 2, 3, 3, 7, 11, 18, 30, 61

Chapter 3 Data Description Section 3-2 Exercise #5

Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.

(a)

(b) Arrange data in increasing order: median

(b) Arrange data in increasing order:

(c) No data are repeated. No mode.

(d) Arrange data in increasing order.

It seems that the average number of identity thefts is higher than 300.

Section 3-2 Exercise #17 Chapter 3 Data Description

FrequencyClass Boundaries

107.5 – – – – – – 63.5 Boundaries

modal class: 74.5 – 85.5

Section 3-2 Exercise #19 Chapter 3 Data Description

Find the (a) mean and (b) modal class FrequencyClass Limits

62 – – – – – – – – 19 Class 54.5 – – – – – – – – 19.5 f X m fXmXm Boundarie s limits

modal class: 26.5 – 33.5 Find the (a) mean and (b) modal class.

Chapter 3 Data Description Section 3-3 Exercise #7

Find the range. range = 48 – 0 = 48

n = 10

range = 48 s 2 = s = 16 By any of these measures, it can be said that the data can vary.

Chapter 3 Data Description Section 3-3 Exercise #21

f Number

, , , , , , Class f

Section 3-3 Exercise #33 Chapter 3 Data Description

Chapter 3 Data Description Section 3-3 Exercise #41

% 16%

Chapter 3 Data Description Section 3-4 Exercise #13

Section 3-4 Exercise #22 Chapter 3 Data Description

For 78, For 82, For 86,

For 88, For 92, For 97,

Chapter 3 Data Description Section 3-4 Exercise #23

Therefore, the answer is the 2 nd in the series, or 82.

Chapter 3 Data Description Section 3-5 Exercise #1

Minimum: Q1:Q1: Median: Q3:Q3: Maximum: Interquartile Range: Data arranged in order: 6, 8, 12, 19, 27, 32, 54 Identify the five number summary and find the interquartile range. 8, 12, 32, 6, 27, 19,

Chapter 3 Data Description Section 3-5 Exercise #9

Minimum: Q1:Q1: Median: Q3:Q3: Maximum: Interquartile Range:

Section 3-5 Exercise #15 Chapter 3 Data Description

Data arranged in order : Minimum: Q1:Q1: MD: Q3:Q3: Maximum:

Comment on the skewness of the data The distribution is positively skewed.

Chapter 3 Data Description Section 3-5 Exercise #16

50,000 52,435 62,850 66,500 77,700 78,008 92, ,628 United States 46,563 56, , , , ,539 South America

For USA: 50,000 52,435 62,850 66,500 77,700 78,008 92, ,628 United States 125,628 72,

For South America: 46,563 56, , , , ,539 South America , ,979

125,628 72, , ,979 South America USA Compare the distributions:

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