Quantitative Data

Question 1

The mean is calculated by adding all values and dividing by the number of _____. The formula is Mean = Sum of all values / Number of _____.

Answer 1

values, values

Question 2

The median is the middle value in an ordered data set, and if the number of values is even, it is the average of the two _____.

Answer 2

middle numbers

Question 3

The mode is the most frequently occurring value(s) in a data set, which can have one mode, multiple modes, or _____.

Answer 3

no mode

Question 4

A frequency table organizes data into categories or intervals and shows how often each category/interval _____.

Answer 4

occurs

Question 5

A summary table condenses data by providing aggregated statistics such as totals, averages, or _____.

Answer 5

percentages

Question 6

A bar chart displays categories on the x-axis and frequencies or values on the y-axis using _____.

Answer 6

rectangular bars

Question 7

A histogram is a type of bar graph used for continuous data, where bars represent intervals and the height indicates _____.

Answer 7

frequency

Question 8

The range measures the spread of data, calculated as the difference between the highest and _____.

Answer 8

lowest values

Question 9

Standard deviation measures how spread out the values are from the mean, with a smaller standard deviation indicating data points are close to the _____.

Answer 9

mean

Question 10

Percentages represent a value as a fraction of 100, calculated using the formula Percentage = (Part / Whole) x _____.

Answer 10

100

Question 11

Ratios compare two quantities, expressed as a:b or _____.

Answer 11

a/b

Question 12

A fraction represents a part of a whole, written as a/b, where a is the numerator and b is the _____.

Answer 12

denominator

Question 13

Use a bar chart for categorical data and a histogram for _____.

Answer 13

continuous data

Question 14

In a frequency table, the counts or frequencies help you understand how often each ____ or ____ occurs.

Answer 14

category, interval

Question 15

Measures of central tendency include the mean, median, and ____, which summarize a data set with a single representative ____.

Answer 15

mode, value

Question 16

Measures of dispersion show the spread or variability of data, including the range and ____.

Answer 16

standard deviation

Question 17

To calculate standard deviation, first find the mean, then subtract the mean from each data value to find ____ and square each ____.

Answer 17

deviations, deviation

Question 18

When calculating standard deviation, after finding the mean of squared deviations, you take the ____ of the result to find the standard deviation.

Answer 18

square root

Question 19

In Example 1, the mean of the data set 2, 4, 6, 8 is ____, and the standard deviation is approximately ____.

Answer 19

5, 2.24

Question 20

In Example 2, the mean of the data set 10, 20, 30, 40, 50 is ____, and the standard deviation is approximately ____.

Answer 20

30, 14.14

Question 21

A low standard deviation indicates that the data points are closely clustered around the ____, while a high standard deviation indicates ____ spread.

Answer 21

mean, greater

Question 22

The mean is calculated by adding all values and dividing by the number of _____. The result is known as the _____.

Answer 22

values, mean

Question 23

The median is the middle value in an ordered data set, and if the number of values is even, the median is the average of the two _____.

Answer 23

middle numbers

Question 24

A frequency table organizes data into categories or intervals and shows how often each _____ occurs.

Answer 24

category/interval

Question 25

A summary table condenses data by providing aggregated statistics, such as totals, averages, or _____ for different categories.

Answer 25

percentages

Question 26

A bar chart is a graphical representation of data where categories are shown on the x-axis and _____ or values on the y-axis.

Answer 26

frequencies

Question 27

A histogram is a type of bar graph used for continuous data, where bars represent intervals of data, and the height indicates _____.

Answer 27

frequency

Question 28

The range measures the spread of data, calculated as the difference between the highest and _____ values.

Answer 28

lowest

Question 29

Standard deviation measures how spread out the values are from the mean, with a smaller standard deviation indicating data points are close to the _____ and a larger one indicating more spread.

Answer 29

mean

Question 30

Percentages represent a value as a fraction of 100, calculated using the formula: Percentage = (Part/_____) × 100.

Answer 30

Whole

Question 31

Ratios are represented as a comparison of two quantities, often expressed as a fraction, a colon, or in the form of _____.

Answer 31

decimal

Question 32

A ratio compares two quantities, expressed as ____ or ____.

Answer 32

a:b, ab

Question 33

A fraction represents a part of a whole, written as ____ where ____ is the numerator.

Answer 33

ab, a

Question 34

Use a bar chart for ____ data and a histogram for ____ data.

Answer 34

categorical, continuous

Question 35

To interpret data in a frequency table, look at the ____ or ____ to understand occurrences.

Answer 35

counts, frequencies

Question 36

Measures of central tendency summarize a data set with a single representative value: ____, ____, and ____.

Answer 36

mean, median, mode

Question 37

Measures of dispersion show the spread or variability of data: ____ and ____.

Answer 37

range, standard deviation

Question 38

To calculate standard deviation for a small data set, first find the ____, then subtract it from each data value to find ____ .

Answer 38

mean, deviations

Question 39

In calculating standard deviation, after finding the mean of squared deviations, you take the ____ of the result.

Answer 39

square root

Question 40

For the data set 2, 4, 6, 8, the mean is calculated as ____ and the standard deviation is approximately ____.

Answer 40

5, 2.24

Question 41

For the data set 10, 20, 30, 40, 50, the mean is ____ and the standard deviation is approximately ____.

Answer 41

30, 14.14

Question 42

The mean is calculated by adding all values and dividing by the number of values, which is also known as the _____.

Answer 42

average

Question 43

The mode is the most frequently occurring value(s) in a data set, and a data set can have one mode, multiple modes, or _____.

Answer 43

no mode

Question 44

A frequency table organizes data into categories or intervals and shows how often each category occurs, which helps in understanding the _____.

Answer 44

distribution of data

Question 45

To construct a frequency table for the data set 5, 7, 7, 8, 8, 8, 9, you would list the values and their corresponding _____.

Answer 45

frequencies

Question 46

A cumulative frequency table shows the running total of frequencies up to a given value, which helps in understanding the _____.

Answer 46

accumulation of data

Question 47

The difference between a bar chart and a histogram is that a bar chart represents categorical data while a histogram represents _____.

Answer 47

continuous data

Question 48

In a bar chart, the bars are separated with gaps, while in a histogram, the bars _____.

Answer 48

touch each other

Question 49

In a bar chart, the x-axis represents categories such as colors or regions, while in a histogram, it represents _____.

Answer 49

intervals or bins

Question 50

When comparing the number of students in classes A, B, C, and D, the bar chart would have separate bars for each class with heights corresponding to the number of _____.

Answer 50

students

Question 51

In a histogram, the bars touch each other, representing ____ intervals and showing the ____ of data.

Answer 51

continuous, frequency

Question 52

A summary table condenses data by providing aggregated statistics such as ____ and ____ for different categories.

Answer 52

totals, averages

Question 53

The range measures the spread of data, calculated as the difference between the ____ and ____ values.

Answer 53

highest, lowest

Question 54

Standard deviation measures how ____ the values are from the ____.

Answer 54

spread out, mean

Question 55

To calculate the standard deviation, you first find the mean, then calculate the ____ and ____ deviations.

Answer 55

deviations, squared

Question 56

In Example 1, the data set is 2, 4, 6, 8, and the mean is ____ with a standard deviation of approximately ____.

Answer 56

5, 2.24

Question 57

In Example 2, the data set is 10, 20, 30, 40, 50, and the mean is ____ with a standard deviation of approximately ____.

Answer 57

30, 14.14

Question 58

Measures of central tendency summarize a data set with a single representative value: mean, ____, and ____.

Answer 58

median, mode

Question 59

Measures of dispersion show the ____ or ____ of data, including range and standard deviation.

Answer 59

spread, variability

Question 60

Percentages represent a value as a fraction of ____ and are calculated using the formula: Percentage = (____/____) × 100.

Answer 60

100, Part, Whole

Question 61

A low standard deviation indicates that the data points are closely clustered around the ____ and have ____ variability.

Answer 61

mean, low

Question 62

A high standard deviation indicates that the data points are ____ over a wider range of ____ values.

Answer 62

spread out, values

Question 63

Standard deviation ?

Answer 63

Question 64

Standard deviation ?

Answer 64