Comparing Data Sets One Variable Statistics

Why is the mode considered a robust measure of central tendency in distributions with outliers?

• Because it is the most frequent value and is not affected by extreme values.

• Because it is the average of all values and smoothens the effect of outliers.

• Because it is the middle value and minimizes the impact of outliers.

• Because it is the difference between the highest and lowest values.

Answer explanation

The mode is the most frequent value and is not affected by extreme values, making it a robust measure of central tendency in distributions with outliers.

How does increasing the sample size of a data set affect the standard deviation?

• It does not affect the standard deviation.

• It increases the standard deviation.

• It decreases the standard deviation.

• The effect on the standard deviation depends on the data's distribution.

Answer explanation

Increasing the sample size can affect the standard deviation depending on the data's distribution, as it may lead to a more representative sample or reduce the impact of outliers.

If we use the median to measure the typical value or center of the data, we would use the _________ to measure the variability.

• Mode

• MAD

• Standard Deviation

• IQR or Interquartile Range

The median is the...

• average of all data values

• the most frequently occurring number

• the difference between the biggest and smallest value

• the middle value

Interquartile Range or IQR is a measure of variability and helps determine the spread of the data.

• True

• False

A box plot divides the data into quarters or 25% increments.

• True

• False

The total number of data values in this histogram is...

• 11

• 7

• 4

• 15

• 25

What is the difference between the highest score and the lowest score on the test?

• 15

• 100

• 6

• 10

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Find the Median of the following numbers:
84, 88, 72, 74, 98, 16, 94 

• 16

• 98

• 84

• There is no median.