SaiBook.us Statistics

Example

Title: Mode for grouped data

Grade: 9-a Lesson: S1-L6

Explanation: The best way to understand statistics is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Find out the mode for the given observations $1$

Step 1a

Maximum class frequency

Explanation: Now Find the maximum of the frequency.

i.e, \$12\$.

Step 1b

Finding modal class

Explanation: Modal class = 10-20

class size = 20-10

i.e, \$ h = 10\$

Step 1c

Calculating Mode

Explanation: \$Mode = l + (f_1 - f_0)/(2f_1 - f_0 - f_2) × h\$

Here \$l = 10, f_0 = 9, f_1 = 12, f_2 = 5, h = 10\$

\$Mode = 10 + (12 - 9)/(2(12) - 9 - 5) × 10\$

\$= 10 + 3/(24 - 9 - 5) × 10\$

\$= 10 + 3/(24-14) × 10\$

\$= 10 + 3/10 × 10\$

\$= 10 + 0.3 × 10\$

\$= 10 + 3\$

\$Mode = 13\$