Statistics: Measures of Central Tendency

This video tutorial covers key statistical concepts relevant to the ENEM exam, focusing on measures of central tendency: mode, median, and arithmetic mean. It explains how to identify and calculate the mode, including unimodal, bimodal, and polymodal cases. The tutorial also details the process of finding the median in both odd and even data sets, emphasizing the importance of data organization. Additionally, it distinguishes between simple and weighted arithmetic means, providing examples for clarity. The video concludes with a summary and suggests exercises for further practice.

Which of the following is NOT a measure of position in statistics?

• Mode

• Median

• Range

• Mean

What is the mode of the series 2, 4, 5, 5, 7?

• 7

• 5

• 4

• 2

If a dataset has two modes, it is called:

• Polymodal

• Trimodal

• Bimodal

• Unimodal

In a dataset with no repeating numbers, the mode is:

• Non-existent

• The smallest number

• The largest number

• The average of all numbers

To calculate the median, the data must be organized in:

• Any order

• Random order

• Descending order

• Ascending order

What is the median of the series 3, 4, 5, 7, 7?

• 7

• 5

• 4

• 3

For an even number of elements, the median is calculated by:

• Taking the smallest number

• Averaging the two middle numbers

• Taking the largest number

• Taking the middle number

The simple arithmetic mean of the numbers 2, 8, 7, 4, and 9 is:

• 5

• 6

• 7

• 8

In a weighted arithmetic mean, the weights represent:

• The difference between values

• The sum of all values

• The frequency of each value

• The product of all values

What is the weighted mean of a class where 3 students scored 8, 5 students scored 9, and 2 students scored 10?

• 9.0

• 8.9

• 8.7

• 8.5