BASIC STATISTICS

MEASURE OF CENTRAL TENDENCY

​The most common measures of central tendency are 

1. ​Mean ( x̄ “x-bar” )

2. ​Median ( x̃ “x-tilde” )

3. ​Mode ( X̂ “x-hat” )

Multiple Choice

It is the most popular and widely used measure of central tendency.

• range

• mean

• median

• mode

Multiple Choice

All of the following characteristics describes the properties of mean, EXCEPT?

• A set of data has only one mean.

• Mean can be applied for interval and ratio data.

• All values in the data set are included in computing the mean.

• The mean is found by arranging the set of data from lowest or highest (or highest to lowest) and getting the value of the middle observation.

• It is very useful in comparing two or more data sets.

​Properties of Mean

1. ​A set of data has only one mean.

2. ​Mean can be applied for interval and ratio data.

3. ​All values in the data set are included in computing the mean.

4. ​It is very useful in comparing two or more data sets.

5. ​Mean is affected by the extreme small or large values on a data set.

6. ​The mean can be computed for the data in a frequency distribution with an open ended class.

Multiple Choice

Which of the following measures of central tendency can be found by arranging the set of data from lowest or highest (or highest to lowest) and getting the value of the middle observation.

• range

• mean

• median

• mode

Multiple Choice

Which of the following characteristics will not describes the properties of the median?

• The median is unique, there is only one median for a set of data.

• The median is found by arranging the set of data from lowest or highest (or highest to lowest) and getting the value of the middle observation.

• The median is the easiest average to compute.

• The median is not affected by the extreme small or large values.

• Median can be applied for ordinal, interval and ratio data.

Multiple Choice

The following are the ages of students in a culinary class: 24, 18, 19, 20, 24, 26, 27, 20, 23, 19. Find the mean.

• 19

• 20

• 21

• 22

Multiple Choice

The prices of certain notebooks are set at ₱15, ₱12, ₱14, ₱16, ₱13, ₱18, and ₱17. Find the median.

• 13

• 14

• 15

• 16

• 17

Multiple Choice

The following are the ages of 12 employees of a certain company: 25, 21, 30, 25, 32, 46, 55, 40, 45, 58, 30, and 60 years old. What is the median age?

• 32

• 36

• 40

• 72

Multiple Choice

The value of this measures of central tendency appears the most number of times in a data set.

• mean

• median

• mode

• none of the above

​Properties of Mode

1. ​The mode is found by locating the most frequent occuring value.

2. ​The mode is the easiest average to compute.

3. ​There can be more than one mode or even no mode in any given data set.

4. ​Mode is not affected by the extreme small or large values.

5. ​Mode can be applied for nominal, ordinal, interval, and ratio data.

Multiple Choice

The following data are the prices in pesos per kilos of imported coffee.

100, 115, 110, 108, 100, 125, 110, 120, 90, 110, 90, 105. Find the modal price.

• 100

• 110

• 115

• 120