Step-1

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
1

2

Step

From the above table

\$n=30\$

3

Step

Finding median class

\$n/2 = 30/2 = 15\$

4

Step

Median class

85-89

5

Step

Lower class limit l

\$l = 85\$

6

Step

Cumulative frequency of the preceding class of the median class cf

\$cf = 11\$

7

Step

Frequency of the median class f

\$f = 10\$

8

Step

Class size h

\$h = 89-85 = 4\$

9

Formula:

Median = \$l + (n/2 -cf)/f × h\$

10

Step

Substitute all the above values and solve

Median = \$85 + (30/2 - 11)/10 × 4\$

11

Step

Simplification

\$85 + (15-11)/10 × 4\$

12

Step

Simplification

\$85 + 4/10 × 4\$

13

Step

After simplification

\$85 + 1.6\$

14

Step

After addition

\$86.6\$

15

Answer

B = 86.6

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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