Step-4

Title: Median for grouped data

Grade: 9-a Lesson: S1-L5

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

Step Type Explanation Answer

1

Problem

From the given observations.Find the median
4

2

Step

From the above table

\$n=66\$

3

Step

Finding median class

\$n/2 = 66/2 = 33\$

4

Step

Median class

10-15

5

Step

Lower class limit l

\$l = 10\$

6

Step

Cumulative frequency of the preceding class of the median class cf

\$cf = 25\$

7

Step

Frequency of the median class f

\$f = 12\$

8

Step

class size h

\$h = 15-10 = 5\$

9

Formula:

Median = \$l + (n/2 -cf)/f × h\$

10

Step

substitute all the above values and solve

Median = \$10 + (66/2 - 25)/12 × 5\$

11

Step

Simplification

\$10 + (33-25)/12 × 5\$

12

Step

Simplification

\$10 + 8/12 × 5\$

13

Step

Simplification

\$10 + 0.66 × 5\$

14

Step

After simplification

\$10 + 3.33\$

15

Step

After addition

\$13.33\$

16

Answer

C = 13.33

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

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3

Hint

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4

Step

What did you learn from the Steps?

5

Step

How can we improve the Steps?


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