Understanding Quartiles and Deciles

The video tutorial covers the calculation of central tendencies, including mean, median, and mode. It then delves into quartiles, explaining how to calculate them for both discrete and grouped frequency data. The tutorial further explores deciles and percentiles, providing formulas and examples for their calculation.

What is the median in terms of data distribution?

• The value that divides data into four equal parts

• The value that divides data into ten equal parts

• The value that divides data into three equal parts

• The value that divides data into two equal halves

How many quartiles are there in a data set?

• Three

• Five

• Four

• Two

What is the formula to find the first quartile (Q1) in discrete data?

• (n + 1) / 4

• (n + 1) / 2

• n / 4

• 3(n + 1) / 4

In grouped frequency data, what is the first step in calculating quartiles?

• Find the mode

• Arrange data in descending order

• Calculate the cumulative frequency

• Calculate the mean

What is the formula for calculating the median in grouped frequency data?

• L + (h / f) * (n / 100 - CF)

• L + (h / f) * (n / 10 - CF)

• L + (h / f) * (n / 4 - CF)

• L + (h / f) * (n / 2 - CF)

What is the value of the second quartile (Q2) in terms of data distribution?

• It is the same as the median

• It is the same as the third quartile

• It is the same as the mode

• It is the same as the first quartile

What does the term 'deca' in deciles refer to?

• Five

• Ten

• Twenty

• Fifty

How is the seventh decile (D7) calculated?

• 7n / 2

• 7n / 100

• 7n / 10

• 7n / 4

What is the main difference in the formula for calculating percentiles compared to quartiles?

• The factor changes to n / 100

• The factor changes to n / 10

• The factor changes to n / 5

• The factor changes to n / 2

Which class interval is selected for calculating the 35th percentile?

• Fourth class

• Second class

• First class

• Third class