6.1 Statistical Measures

• The median is the middle value when the data is arranged in order from largest to smallest.

  False
• Steps to calculate the mean

  1️⃣ Sum all the values

  2️⃣ Divide the sum by the number of values
• If there is an even number of values, the median is the average of the two middle values
• The mean is calculated by dividing the total number of values by their sum.

  False
• What is the mean of the data set {3, 5, 7, 9, 11}?

  7
• If a data set has an odd number of values, the median is the middle value.

  True
• To calculate the mode, you must first count the frequency of each unique value in the data set.


  True
• Match the statistical measure with its definition:

  Range ↔️ The difference between the largest and smallest values

  Mean ↔️ The average value of the data set

  Median ↔️ The middle value in the data set

  Mode ↔️ The value that appears most frequently
• The mode is the value that appears most frequently
• The median is the middle value when the data is arranged in order.
• Steps to calculate the mean

  1️⃣ Sum all the values in the data set

  2️⃣ Divide the sum by the total number of values
• To calculate the median, first arrange the data set in ascending order.
• What is the median of the data set {4, 8, 2, 6}?

  5
• What is the mode of a data set?

  The most frequent value
• What is the mean of the data set {3, 5, 7, 9, 11}?

  7
• What is the median of the data set {3, 7, 9, 1, 5}?

  5
• Match each statistical measure with its definition:

  Mean ↔️ The average value

  Median ↔️ The middle value

  Mode ↔️ The most frequent value
• If a data set has an even number of values, the median is the average of the two middle values.

  True
• If a data set has an even number of values, the median is the average of the two middle values.


  True
• The mode is always the largest value in the data set.

  False
• The mean, median, and mode summarize the central tendency
• Steps to calculate the range:

  1️⃣ Identify the largest value in the data set

  2️⃣ Identify the smallest value in the data set

  3️⃣ Subtract the smallest value from the largest value
• What is the definition of the mode?

  The most frequent value
• The three main averages in statistics are the mean, median, and mode.
• What is the mean of the data set {3, 5, 7, 9, 11}?

  7
• What is the median of the data set {3, 7, 9, 1, 5}?

  5
• The mode is the value with the highest frequency in a data set.


  True
• Steps to calculate the mode of a data set

  1️⃣ Identify the unique values in the data set

  2️⃣ Count the frequency of each unique value

  3️⃣ The mode is the value with the highest frequency
• Steps to calculate the range of a data set

  1️⃣ Identify the largest value in the data set

  2️⃣ Identify the smallest value in the data set

  3️⃣ Subtract the smallest value from the largest value
• Match the measure with its calculation:

  Mean ↔️ Sum all values and divide

  Median ↔️ Middle value when ordered

  Mode ↔️ Most frequent value
• The mode is always the highest value in a data set.

  False
• What is the range of the data set {3, 7, 9, 1, 5}?

  8
• The mean is best used when data is normally distributed and has no extreme values
• The mode is helpful for understanding which value occurs most often
• The mean is the best measure for skewed data.

  False
• What is the mean of the data set {2, 4, 2, 6, 2, 8, 2}?

  3.71
• The mean is the average value, calculated by summing all values and dividing by the total number of values
• The choice of which average to use depends on the specific characteristics and distribution
• The median is always the middle value in a data set.


  True
• What is the median of the data set {4, 8, 2, 6}?

  5