Spread Analysis HW

What does the spread of a dot plot represent?

• The range of the data

• The average value of the data

• The middle value of the data

• The total sum of the data

How can you identify the center of spread in a box plot?

• By locating the median line inside the box

• By finding the highest value

• By calculating the mean of the data

• By identifying the longest whisker

What is the mean absolute deviation of the data set 3, 7, 7, 2, 5?

• 2

• 2.4

• 3

• 4.8

Which of the following is true about comparing the spread of two dot plots?

• The plot with the dots closer together has a larger spread.

• The plot with the dots more spread out has a smaller spread.

• The plot with the dots more spread out has a larger spread.

• The spread of dot plots cannot be compared.

In a box plot, if the interquartile range is small, what does it indicate about the spread of the data?

• The data is widely spread.

• The data is closely packed.

• The data is skewed.

• The data cannot be determined.

How do you calculate the mean absolute deviation of a data set?

• Find the mean, subtract each data point from the mean, square the differences, and then find the average of the squares.

• Find the median, subtract each data point from the median, and then find the average of the differences.

• Find the mean, subtract each data point from the mean, take the absolute value of each difference, and then find the average of these absolute values.

• Add all the data points together and divide by the number of data points.

If two dot plots have the same range but different variances, what does this tell you?

• They have the same spread.

• They have the same center.

• They have a different distribution of data points within the range.

• They cannot be compared.

What does a larger mean absolute deviation indicate about a data set?

• The data points are closer to the mean.

• The data points are more spread out from the mean.

• The data set has more outliers.

• The data set has a smaller range.

When comparing the spread of two data sets using dot plots, what should you look for?

• The number of dots

• The distance between consecutive dots

• The overall range and distribution of the dots

• The color of the dots

How is the center of spread in a box plot different from that in a dot plot?

• A box plot uses the median as the center, while a dot plot uses the mean.

• A box plot shows the center as a line, while a dot plot does not explicitly show the center.

• A box plot cannot show the center of spread, while a dot plot can.

• There is no difference in how they show the center of spread.