Deck 3: Measures of Central Tendency

Question 1

For this set of data, $\Sigma$ X is equal to ______.

A) 6
B) 9
C) 15
D) 19

Answer 1

19

Question 2

For this set of data (∑X)² is equal to ______. 2, 5, 6, 7, 9, 10, 10, 12

A) 8
B) 61
C) 539
D) 3721

Answer 2

3721

Question 3

The ______ may be defined as ______.

A) mode; the mathematical average
B) mean; the score that splits a distribution into two equal halves
C) median; the mathematical average
D) mode; the most frequently occurring score in a distribution

Answer 3

mode; the most frequently occurring score in a distribution

Question 4

For this set of data, $\Sigma$ X² is equal to ______. 104, 116, 95, 121, 87

A) 523
B) 55507
C) 273529
D) 3081027049

Question 5

What is the mode for the set of data? 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 9

A) 1
B) 3
C) 4
D) 6

Question 6

For this set of data, $\Sigma$ X is equal to ______.

A) 10
B) 15
C) 52
D) 276

Question 7

For this set of data, $\Sigma$ X² is equal to ______.

A) 15
B) 52
C) 276
D) 2704

Question 8

For this set of data, ( $\Sigma$ X)² is equal to ______.

A) 52
B) 276
C) 520
D) 2704

Question 9

For this set of data, ( $\Sigma$ X)² is equal to______. 408, 415, 510, 650, 925

A) 581.60
B) 2908.00
C) 1876914.00
D) 8456464.00

Question 10

For this set of data, $\Sigma$ X² is equal to ______. 408, 415, 510, 650, 925

A) 581.60
B) 2908.00
C) 1876914.00
D) 8456464.00

Question 11

For this set of data $\Sigma$ X is equal to ______. 2, 5, 6, 7, 9, 10, 10, 12

A) 8
B) 61
C) 539
D) 3721

Question 12

What is the mode for the set of data? 20, 21, 24, 20, 26, 29, 30, 24, 20, 24, 24, 25, 23, 29, 27

A) 20
B) 21
C) 23
D) 24

Question 13

For this set of data, ( $\Sigma$ X)² is equal to ______. 104, 116, 95, 121, 87

A) 523
B) 55507
C) 273529
D) 3081027049

Question 14

The mode may be defined as ______.

A) the most common or frequently occurring score in a distribution
B) the average squared deviation of a score from the mean
C) the mathematical average
D) the difference between the highest and lowest score in a set of data

Question 15

For this set of data, $\Sigma$ X² is equal to ______.

A) 14
B) 29
C) 63
D) 361

Question 16

For this set of data, ( $\Sigma$ X)² is equal to ______. 104, 116, 95, 121, 87

A) 233
B) 1165
C) 558859
D) 1357225

Question 17

For this set of data $\Sigma$ X² is equal to ______. 2, 5, 6, 7, 9, 10, 10, 12

A) 8
B) 61
C) 539
D) 3721

Question 18

The ______ is the score or value of a variable that appears most frequently in a set of data.

A) modal score
B) median score
C) mean score
D) measure of central tendency

Question 19

For this set of data, ( $\Sigma$ X)² is equal to ______.

A) 19
B) 63
C) 81
D) 361

Question 20

For this set of data, $\Sigma$ X² is equal to ______. 104, 116, 95, 121, 87

A) 233
B) 1165
C) 71853.50
D) 558859

Question 21

What is the median for the set of data? 9, 1, 10, 4, 2, 13, 6, 4, 8

A) 5
B) 1
C) 2
D) 6

Question 22

The ______ may be defined as ______.

A) mode; the score that splits a distribution into two equal halves
B) median; the mathematical average
C) median; the score that splits a distribution into two equal halves
D) mean; the most common or frequently occurring score in a distribution

Question 23

What is the median for the set of data? 5, 7, 8, 10, 15, 22

A) 3.50
B) 6.00
C) 9.00
D) 17.00

Question 24

______ is the mode type of vehicle in this frequency distribution table; it was owned by ______ of the sample.

A) Truck; 4
B) SUV; 24.0%
C) Sedan; 10
D) Wagon; 20.0%

Question 25

What is the mode for the set of data? 12, 12, 23, 32, 29, 17, 16, 19, 12, 23, 19, 19, 17, 23, 19, 32

A) 17
B) 19
C) 23
D) 32

Question 26

What is the median for the set of data? 1, 2, 3, 8, 9, 11, 13

A) 4
B) 7
C) 8
D) 12

Question 27

______ is the mode fast food in this frequency distribution table; it was chosen by ______ of the sample.

A) Hamburger; 6
B) Hot dog; 33.3%
C) Sandwich; 20.0%
D) Pizza; 1

Question 28

What is the mode for the set of colors? green, yellow, red, yellow, green, blue, yellow, red, green, green, blue, green, red

A) blue
B) red
C) yellow
D) green

Question 29

The median may be defined as ______.

A) the most common or frequently occurring score in a distribution
B) the average squared deviation of a score from the mean
C) the difference between the highest and lowest score in a set of data
D) the score that splits a distribution into two equal halves

Question 30

______ is the mode color in this frequency distribution table; it was preferred by ______ of the sample.

A) Black; 6
B) Blue; 33.3%
C) Red; 7
D) Green; 25.0%

Question 31

What is the median for the set of data? 3, 5, 6, 7, 11, 14

A) 3.50
B) 6.50
C) 11.00
D) 6.00

Question 32

What is the median for the set of data? 35, 27, 16, 24, 31, 29, 16, 19, 25

A) 5
B) 10
C) 31
D) 25

Question 33

______ is the modal ethnicity in the figure.

A) Asian
B) White
C) African American
D) Hispanic

Question 34

What is the median for the set of data? 16, 19, 31, 33, 37, 40, 42

A) 4
B) 7
C) 26
D) 33

Question 35

What is the median for the set of data? 23, 24, 24, 26, 29, 30, 35

A) 4
B) 12
C) 243
D) 26

Question 36

______ is the mode age in this frequency distribution table; it was represented by ______ of the sample.

A) 21; 30.0%
B) 20; 13
C) 19; 16.7%
D) 18; 3

Question 37

What is the median for the set of data? 47, 41, 56, 34, 39, 11, 13, 24, 19

A) 5
B) 28
C) 34
D) 39

Question 38

What is the median for this set of data? 87, 75, 66, 80, 73, 61, 72, 49

A) 4.50
B) 38.00
C) 72.50
D) 76.50

Question 39

What is the mode for the set of letter grades? A, B, C, F, D, B, A, C, B, A, C, D, A, B, B, C, D, F, B

A) D
B) C
C) B
D) A

Question 40

What is the median for the set of data? 25, 40, 48, 54, 61, 70

A) 3.50
B) 6.00
C) 45.00
D) 51.00

Question 41

What is the mean for the data in the frequency distribution table?

A) 1.08
B) 18.75
C) 1.50
D) 25.00

Question 42

For the set of data, the median is ______ and the mean is ______. 54, 20, 39, 41, 44

A) 41.00; 39.60
B) 41.00; 198.00
C) 39.60; 41.00
D) 39.00; 41.00

Question 43

What is the mean for the set of data? .91, .76, .99, .83, .62, .85, .57

A) 5.53
B) .79
C) .83
D) .42

Question 44

The ______ may be defined as ______.

A) median; the mathematical average
B) mean; the most common or frequently occurring score in a distribution
C) mean; the mathematical average
D) mode; the score that splits a distribution into two equal halves

Question 45

For the set of data, the median is ______ and the mean is ______. 1.43, 2.75, 2.31, 3.65, 2.40

A) 2.40; 12.54
B) 2.40; 2.51
C) 2.51; 2.40
D) 2.31; 2.40

Question 46

What is the mean for the set of data? 97, 102, 95, 98, 79, 101, 96

A) 668.00
B) 97.00
C) 95.43
D) 23.00

Question 47

What is the mean for the data in the frequency distribution table?

A) 31.14
B) 14.67
C) 30.00
D) 33.33

Question 48

What is the mean for the set of data? 6, 2, 4, 1, 7

A) 20.00
B) 4.00
C) 5.00
D) 6.00

Question 49

What is the mean for the set of data? 2.15, 3.63, 4.76, 3.01, 2.96

A) 16.51
B) 3.30
C) 3.01
D) 2.61

Question 50

What is the mean for the data in the frequency distribution table?

A) 4.00
B) 6.67
C) 5.00
D) 33.33

Question 51

What is the mean for the data in the frequency distribution table?

A) 2.70
B) 5.00
C) 2.50
D) 25.00

Question 52

The mean is described as the 'balancing point' for a set of scores because ______.

A) 50% of the scores lie above the mean and 50% lie below the mean
B) the sum of the deviations of scores from the mean is equal to zero
C) the mean is always the most frequency occurring score for a variable
D) the sum of the squared deviations of scores from the mean is equal to zero

Question 53

For the set of data, the median is ______ and the mean is ______. 5, 3, 9, 2, 4

A) 4.00; 23.00
B) 4.60; 4.00
C) 9.00; 4.00
D) 4.00; 4.60

Question 54

What is the mean for the data in the frequency distribution table?

A) 14.50
B) 3.33
C) 15.00
D) 33.33

Question 55

What is the mean for the data in the frequency distribution table?

A) 20.40
B) 6.67
C) 20.00
D) 33.33

Question 56

What is the mean for the set of data? 3, 4, 2, 5, 1

A) 15.00
B) 4.00
C) 3.75
D) 3.00

Question 57

For the set of data, the median is ______ and the mean is ______. 11, 8, 20, 16, 9

A) 11.00; 64.00
B) 12.80; 11.00
C) 20.00; 11.00
D) 11.00; 12.80

Question 58

What is the mean for the set of data? 8, 11, 13, 6, 12

A) 50.00
B) 10.00
C) 12.50
D) 7.00

Question 59

What is the median for this set of data? 41, 36, 31, 11, 43, 40, 39, 30

A) 4.50
B) 11.00
C) 27.00
D) 37.50

Question 60

What is the mean for the set of data? 2, 5, 3, 10, 1, 5, 2

A) 28.00
B) 4.00
C) 3.00
D) 5.00

Question 61

For the set of data, the median is ______ and the mean is ______. 7, 3, 4, 7, 2, 6, 1

A) 4.00; 30.00
B) 4.29; 4.00
C) 7.00; 4.00
D) 4.00; 4.29

Question 62

Calculating the quotient of ______ to three decimal places, the result should be rounded to ______.

A) 8/14; .58
B) 4/11; .37
C) 5/7; .72
D) 3/8; .38

Question 63

Using the rounding rules presented in this book, the number ______ is correctly rounded to ______.

A) 798.111; 798.12
B) 864.891; 864.90
C) 982.356; 982.36
D) 997.448; 997.44

Question 64

Calculating the quotient of ______ to three decimal places, the result should be rounded to ______.

A) 8/3; 2.66
B) 17/9; 1.88
C) 7/6; 1.16
D) 25/7; 3.57

Question 65

For the set of data, the median is ______ and the mean is ______. 16, 17, 16, 19, 20, 15

A) 16.50; 103.00
B) 17.17; 16.50
C) 17.50; 16.50
D) 16.50; 17.17

Question 66

For the set of data, the median is ______ and the mean is ______. 3, 7, 6, 2, 8, 2

A) 4.50; 28.00
B) 4.67; 4.50
C) 4.00; 4.50
D) 4.50; 4.67

Question 67

Using the rounding rules presented in this book, the number ______ is correctly rounded to ______.

A) 4.365; 4.37
B) 3.167; 3.16
C) 2.843; 2.85
D) 1.884; 1.89

Question 68

Using the rounding rules presented in this book, the number ______ is correctly rounded to ______.

A) 14.219; 14.22
B) 16.801; 16.81
C) 20.185; 20.18
D) 19.384; 19.39

Question 69

Using the rounding rules presented in this book, the number ______ is correctly rounded to ______.

A) 2.257; 2.26
B) 3.555; 3.55
C) 1.306; 1.30
D) 5.144; 5.15

Question 70

For the set of data, the median is ______ and the mean is ______. 15, 10, 18, 9, 12, 16, 14, 17

A) 14.50; 111.00
B) 13.88; 14.50
C) 10.50; 14.50
D) 14.50; 13.88

Question 71

Calculating the quotient of ______ to three decimal places, the result should be rounded to ______.

A) 2/3; .66
B) 7/8; .87
C) 3/7; .42
D) 4/9; .44

Question 72

For the set of data, the median is ______ and the mean is ______. .31, .19, .25, .36, .15, .83, .27

A) .27; 2.36
B) .34; .27
C) .36; .27
D) .27; .34

Question 73

For the set of data, the median is ______ and the mean is ______. 11.43, 13.56, 9.61, 18.02, 10.84, 16.13

A) 12.50; 79.59
B) 13.27; 12.50
C) 13.82; 12.50
D) 12.50; 13.27

Question 74

Calculating the quotient of ______ to three decimal places, the result should be rounded to ______.

A) 4/6; .66
B) 4/7; .57
C) 5/8; .62
D) 6/14; .42

Question 75

For the set of data, the median is ______ and the mean is ______. 24, 17, 25, 19, 33, 21, 18

A) 21.00; 157.00
B) 22.43; 21.00
C) 19.00; 21.00
D) 21.00; 22.43

Question 76

Using the rounding rules presented in this book, the number ______ is correctly rounded to ______.

A) 67.294; 67.29
B) 51.629; 51.62
C) 42.668; 42.66
D) 70.981; 70.99

Question 77

Calculating the quotient of ______ to three decimal places, the result should be rounded to ______.

A) 6/11; .54
B) 7/8; .87
C) 7/13; .53
D) 6/17; .35

Question 78

For this set of data, the median is ______ and the mean is ______. 20.42, 23.90, 25.81, 28.42, 24.66, 21.13, 19.49, 20.91

A) 22.52; 184.74
B) 23.09; 22.52
C) 26.54; 22.52
D) 22.52; 23.09

Question 79

For the set of data, the median is ______ and the mean is ______. 3, 5, 4, 1, 5, 6, 7, 3

A) 4.50; 34.00
B) 4.25; 4.50
C) 3.00; 4.50
D) 4.50; 4.25

Question 80

Calculating the quotient of ______ to three decimal places, the result should be rounded to ______.

A) 7/11; .63
B) 14/18; .77
C) 6/13; .46
D) 5/23; .21