Quiz #2: Measures of Central Tendency and Measures of Position

Calculate the mean of the following ungrouped data:

13, 19, 20, 18, 17, 16, 15, 19, 11, 18, 10, 16, 18, 18, 15, 19, 16, 18, 20

• 16.63

• 15.80

• 17.56

• 15.05

Explain the concept of central tendency in statistics.

• Central tendency includes standard deviation and variance

• Central tendency refers to the spread of data

• Central tendency is only applicable to categorical data

• Central tendency is a statistical concept that includes mean, median, and mode.

Find the median of the ungrouped data set:

12, 9, 7, 6, 10, 4, 5, 8, 9, 10, 7

• 6

• 10

• 14

• 8

Identify the mode of the ungrouped data:

3, 5, 7, 5, 9, 0, 7, 9, 8, 5, 7, 7, 5, 0, 8, 5, 3, 5

• 5

• 9

• 7

• 3

Discuss how mean, median, and mode help in understanding data distribution.

• Mean, median, and mode always have the same value in any dataset

• Mean, median, and mode can only be calculated for small datasets

• Mean, median, and mode provide different perspectives on the central tendency of a dataset, helping to understand the distribution's characteristics.

• Mean, median, and mode are irrelevant in data analysis

Among the 3 measures of Central tendency which is equivalent to Q2, D5 and P50?

• MEAN

• MEDIAN

• MODE

Where is the location of the 1st Quartile in the distribution:

10, 17, 18, 19, 16, 18, 29, 18, 22, 25, 19, 15, 18, 10

• Between 4th and 5th Position

• Between 2nd and 3rd Position

• Between 1st and 2nd Position

• Between the 3rd and 4th Position

What is the value of the 1st Quartile in the distribution:

10, 17, 18, 19, 16, 18, 29, 18, 22, 25, 19, 15, 18, 10

• 11.75

• 17.75

• 16.75

• 15.75

Where is the location of the 67th Percentile in the distribution:

10, 17, 18, 19, 16, 18, 29, 18, 22, 25, 19, 15, 18, 10

• Between 14th and 15th Position

• Between 13th and 14th Position

• Between 10th and 11th Position

• Between 12th and 13th Position

Where is the location of the 67th Percentile in the distribution:

10, 17, 18, 19, 16, 18, 29, 18, 22, 25, 19, 15, 18, 10

• 18

• 19

• 17

• 16