Frequency, Relative Frequency and Level of Measurement Flashcards

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1
Q

What is Frequency?

A

How many times something happens on a data set

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2
Q

True or False: Frequency can only refer to numerical data.

A

False. Frequency can refer to both numerical and categorical data.

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3
Q

What is relative frequency?

A

Relative frequency is the ratio of the absolute frequency of a value to the total number of observations.

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4
Q

Multiple Choice: Which of the following defines cumulative frequency?

A

A. The total frequency of all values up to and including a specific value.

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5
Q

What is the formula for calculating relative frequency?

A

Relative frequency = (Absolute frequency / Total number of observations) x 100%

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6
Q

True or False: A frequency distribution can be represented using a table or a graph.

A

True.

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7
Q

What type of graph is commonly used to represent frequency distributions?

A

Histograms.

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8
Q

Fill in the blank: In a frequency table, the _____ column lists the categories or values.

A

category

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9
Q

What does a higher frequency indicate in a dataset?

A

A higher frequency indicates that a particular value or category occurs more often.

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10
Q

Multiple Choice: Which of the following is an example of categorical frequency?

A

C. The number of students in each grade level.

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11
Q

What is the purpose of a frequency distribution?

A

To summarize and organize data to show the number of occurrences of each value.

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12
Q

Multiple Choice: Which statistical measure uses frequency to identify the most common value?

A

B. Mode.

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13
Q

True or False: Frequency analysis is only useful in scientific research.

A

False. Frequency analysis is used in various fields including marketing, economics, and social sciences.

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14
Q

What is a frequency chart?

A

A frequency chart is a visual representation that displays the frequency of different values or categories.

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15
Q

Multiple Choice: Which of the following is NOT a type of frequency?

A

C. Imaginary frequency.

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16
Q

What is the relationship between frequency and probability?

A

Frequency can be used to estimate the probability of an event occurring based on past occurrences.

17
Q

True or False: Cumulative frequency is the total frequency up to a certain point in a data set.

18
Q

Fill in the blank: The relative frequency is calculated by dividing the frequency of a specific category by the ________ of all frequencies.

A

total frequency

19
Q

What is the formula for calculating relative frequency?

A

Relative Frequency = Frequency of the category / Total Frequency

20
Q

Which of the following is an example of frequency? A) 5 students scored 90%, B) The average score was 75%, C) The median score was 80%.

A

A) 5 students scored 90%

21
Q

What does cumulative frequency represent?

A

Cumulative frequency represents the sum of frequencies for all categories up to a certain category.

22
Q

If a data set has a total of 50 observations, and a value occurs 10 times, what is its relative frequency?

A

0.2 or 20%

23
Q

Fill in the blank: In a frequency distribution, the values are typically organized in a ________.

24
Q

What is the main purpose of calculating relative frequency?

A

To understand the proportion of each category in relation to the total.

25
Q

How do you compute cumulative frequency from a frequency table?

A

By adding the frequency of each category to the cumulative total of the previous categories.

26
Q

Multiple Choice: Which of the following represents a cumulative frequency? A) 10, B) 20, C) 10, 30, 50.

A

C) 10, 30, 50

27
Q

Fill in the blank: The cumulative frequency at the last category is equal to the ________ of the data set.

A

total frequency

28
Q

What does a frequency distribution show?

A

A frequency distribution shows how often each value in a data set occurs.

29
Q

What is the relative frequency of a category if it has a frequency of 15 and the total frequency is 60?

A

0.25 or 25%

30
Q

In a data set with categories A, B, and C, if the frequencies are 10, 20, and 30 respectively, what is the cumulative frequency for category B?

31
Q

True or False: A higher relative frequency indicates a less common occurrence in the data set.

32
Q

What is the main advantage of using relative frequency?

A

It allows for comparison between different data sets with varying total sizes.

33
Q

What is a fun trivia fact about frequency in statistics?

A

The concept of frequency dates back to the early days of statistics, used by astronomers to track celestial events.