Step-2

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
2

2

Step

From the above table

\$n=40\$

3

Step

Finding median class

\$n/2 = 40/2 = 20\$

4

Step

Median class

61-90

5

Step

Lower class limit l

\$l = 61\$

6

Step

Cumulative frequency of the preceding class of the median class cf

\$cf = 7\$

7

Step

Frequency of the median class f

\$f = 15\$

8

Step

class size h

\$h = 90-61 = 29\$

9

Formula:

Median = \$l + (n/2 -cf)/f × h\$

10

Step

Substitute all the above values and solve

Median = \$61 + (40/2 - 7)/15 × 29\$

11

Step

Simplification

\$61 + (20-7)/15 × 29\$

12

Step

Simplification

\$61 + 13/15 × 29\$

13

Step

Simplification

\$61 + 0.86 × 29\$

14

Step

After simplification

\$61 + 25.13\$

15

Step

After addition

\$86.13\$

16

Answer

A = 86.13

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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