Measures of Position for Grouped Data

What is the total frequency of the given data?

45

In which class interval does the 3rd quartile belong?

36–40

What should be the value of the less than cumulative frequency to be used if kth decile falls under class interval 36–40?

35

What is the lower class boundary for the interval 31–35?

30.5 Signup and view all the answers

What is the value of 𝐷4?

42 Signup and view all the answers

What class interval should be used to get the 55th percentile?

41–45 Signup and view all the answers

What is the formula to calculate the kth quartile for grouped data?

𝑘𝑁 4 𝑄𝑘 = 𝐿𝐵 + [ − 𝑐𝑓 𝑏 𝑓𝑄𝑘 ] ×𝑖 Signup and view all the answers

What is the purpose of constructing the cumulative frequency column in solving the measures of position for grouped data?

To calculate the measures of position for grouped data Signup and view all the answers

What is the value of k in the formula for the 7th decile?

7 Signup and view all the answers

What is the formula to calculate the kth percentile for grouped data?

𝑘𝑁 100 𝑃𝑘 = 𝐿𝐵 + [ − 𝑐𝑓 𝑏 𝑓𝑃𝑘 ] ×𝑖 Signup and view all the answers

What is the value of k in the formula for the median?

1/2 Signup and view all the answers

What is the first step in solving the measures of position for grouped data?

Construct the cumulative frequency column Signup and view all the answers

What is the class interval for Q1?

2000 - 2999 Signup and view all the answers

What percentage of YouTubers in Marikina City have less than or equal to 2916 subscribers?

25% Signup and view all the answers

What is the value of D7?

5749.5 Signup and view all the answers

What is the purpose of finding the quartiles and deciles?

To understand the distribution of data Signup and view all the answers

How many YouTubers are there in the data?

50 Signup and view all the answers

What is the formula to find the kth class?

k = kN / 4 Signup and view all the answers