Step-5

Title: Mode for grouped data

Grade: 9-a Lesson: S1-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

From the given observations.Find the mode
5

2

Step

From the above table

9 is maximum class frequency

3

Step

Finding modal class

\$110-119\$

4

Step

Lower limit of modal class

\$l = 110\$

5

Step

class size

\$h = 119 - 110 = 9\$

6

Step

Frequency of the modal class

\$f_1 = 9\$

7

Step

Frequency of the preceding class of modal class

\$f_0 = 7\$

8

Step

Frequency of the succeeding class of modal class

\$f_2 = 8\$

9

Formula:

Mode

\$l + (f_1 - f_0)/(2f_1 - f_0 - f_2) × h\$

10

Step

Substitute all the above values and solve

Mode = \$110 + (9 - 7)/(2(9) - 7 - 8) × 9\$

11

Step

Simplification

\$110 + 2/(18 - 15) × 9\$

12

Step

Simplification

\$110 + 2/3 × 9\$

13

Step

simplification

\$110 + 0.66 × 9\$

14

Step

After simplication

\$110 + 5.94\$

15

Step

After addition

\$115.94\$

16

Answer

B

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

What did you learn from the clues?

3

Hint

What did you learn from the Hints?

4

Step

What did you learn from the Steps?

5

Step

How can we improve the Steps?


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