Averages From Freq Table

Question 1

What is the mean in a grouped frequency table?

Answer 1

The mean is the average value calculated by dividing the total sum of all data points by the total number of data points.

Question 2

How do you calculate the mean from a grouped frequency table?

Answer 2

Multiply the midpoint of each group by its frequency, sum these products, and then divide by the total frequency.

Question 3

True or False: The mode is the value that appears most frequently in a dataset.

Answer 3

True

Question 4

What is the median in a grouped frequency table?

Answer 4

The median is the middle value that separates the higher half from the lower half of the data set.

Question 5

How do you find the median from a grouped frequency table?

Answer 5

Locate the cumulative frequency that is equal to or just exceeds half the total frequency and identify the corresponding group.

Question 6

Fill in the blank: The mode can be found in a grouped frequency table by identifying the group with the highest __________.

Answer 6

frequency

Question 7

What is the first step in calculating the mean from a grouped frequency table?

Answer 7

Determine the midpoints for each group.

Question 8

True or False: You can have more than one mode in a dataset.

Answer 8

True

Question 9

What is the formula for calculating the mean?

Answer 9

Mean = (Sum of (Midpoint * Frequency)) / Total Frequency

Question 10

What is an important characteristic of the median?

Answer 10

The median is not affected by extreme values or outliers.

Question 11

Multiple Choice: Which of the following is a measure of central tendency? A) Mean B) Median C) Mode D) All of the above

Answer 11

D) All of the above

Question 12

How do you determine the cumulative frequency in a grouped frequency table?

Answer 12

By adding each frequency to the sum of the frequencies before it.

Question 13

What does the term ‘class interval’ refer to?

Answer 13

A range of values in which data points are grouped.

Question 14

Fill in the blank: The __________ of a dataset is the value that occurs most often.

Answer 14

mode

Question 15

What happens if two groups have the same highest frequency?

Answer 15

The dataset is bimodal, having two modes.

Question 16

True or False: The mean can be skewed by outliers.

Answer 16

True

Question 17

What is the advantage of using the median over the mean?

Answer 17

The median provides a better measure of central tendency when the data contains outliers.

Question 18

How do you find the midpoint of a class interval?

Answer 18

Add the lower and upper boundaries of the interval and divide by 2.

Question 19

What is the total frequency?

Answer 19

The sum of all frequencies in the grouped frequency table.

Question 20

Multiple Choice: Which measure of central tendency is most affected by outliers? A) Mean B) Median C) Mode

Answer 20

A) Mean

Question 21

What is the first step to find the median in a grouped frequency table?

Answer 21

Calculate the total frequency.

Question 22

Fill in the blank: The __________ is the value that divides the dataset into two equal halves.

Answer 22

median

Question 23

True or False: The mean and median are always the same value.

Answer 23

False

Question 24

What is the role of frequency in finding the mean?

Answer 24

Frequency indicates how many times a midpoint value contributes to the total sum.

Question 25

How can you identify the mode in a grouped frequency table?

Answer 25

Look for the group with the highest frequency.

Question 26

What is a disadvantage of using the mode?

Answer 26

It may not represent the dataset well if there are many different values.

Question 27

Fill in the blank: To find the median, you need to calculate the __________ frequency first.

Answer 27

cumulative

Question 28

True or False: The mean is always greater than the median.

Answer 28

False

Question 29

What is the importance of calculating averages from a grouped frequency table?

Answer 29

Averages provide a summary measure that represents the central point of the data.

Question 30

What is the class width?

Answer 30

The difference between the upper and lower boundaries of a class interval.

Question 31

Multiple Choice: In a dataset with extreme values, which average is generally preferred? A) Mean B) Median C) Mode

Answer 31

B) Median

Question 32

What does a histogram represent in relation to a grouped frequency table?

Answer 32

A graphical representation of the frequency distribution of the data.

Question 33

Fill in the blank: The __________ is the average of the midpoints weighted by their frequencies.

Answer 33

mean

Question 34

What is the significance of the total frequency in calculations?

Answer 34

It is used to calculate averages and determine the position of the median.

Question 35

True or False: The mode can be calculated for numerical and categorical data.

Answer 35

True

Question 36

What do you need to do before calculating the mean?

Answer 36

Identify the midpoints and their corresponding frequencies.