Statistics Fundamentals Assessment

What is a frequency distribution and how is it created?

• A frequency distribution is a graphical representation of data trends.

• A frequency distribution is created by averaging all values in a dataset.

• A frequency distribution is a representation of the number of times each value appears in a dataset, created by counting occurrences of each unique value.

• A frequency distribution shows only the highest value in a dataset.

Given the data set: 2, 3, 5, 7, 7, 8, 10, create a frequency distribution table.

• { "2": 1, "3": 1, "5": 1, "7": 2, "8": 1, "10": 1 }

• { "2": 1, "3": 1, "5": 2, "7": 2, "8": 1, "10": 1 }

• { "2": 1, "3": 2, "5": 1, "7": 1, "8": 1, "10": 1 }

• { "2": 1, "3": 1, "5": 1, "7": 2, "8": 2, "10": 0 }

Calculate the mean of the following data set: 4, 8, 6, 5, 3.

• 4.5

• 7.0

• 6.2

• 5.2

What is the median of the data set: 12, 15, 11, 14, 13?

• 14

• 12

• 15

• 13

Identify the mode in the following data set: 1, 2, 2, 3, 4, 4, 4, 5.

• 3

• 5

• 2

• 4

Explain the concept of standard deviation in your own words.

• Standard deviation indicates the highest value in a dataset.

• Standard deviation is the average of all data points in a dataset.

• Standard deviation measures the spread of data points around the mean in a dataset.

• Standard deviation is a measure of the total number of data points in a dataset.

Calculate the standard deviation for the data set: 10, 12, 23, 23, 16, 23, 21.

• 3.84

• 5.00

• 2.50

• 4.10

What does variance measure in a data set?

• Variance measures the dispersion of data points in a data set.

• Variance indicates the maximum value in a data set.

• Variance shows the relationship between two variables.

• Variance measures the average of data points.

Calculate the variance for the following data set: 5, 7, 8, 9, 10.

• 2.96

• 5.8

• 4.2

• 3.5

Define skewness and explain its significance in statistics.

• Skewness is a measure of the asymmetry of a probability distribution. It indicates the direction and degree of distortion from the symmetrical bell curve of a normal distribution.

• Skewness measures the average value of a dataset.

• Skewness indicates the range of values in a dataset.

• Skewness is the total number of data points in a distribution.