Lesson Example Discussion Quiz: Class Homework |
Step-5 |
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 |
Step |
From the above table |
\$n=40\$ |
3 |
Step |
Finding median class |
\$n/2 = 40/2 = 20\$ |
4 |
Step |
Median class |
19-21 |
5 |
Step |
Lower class limit l |
\$l = 19\$ |
6 |
Step |
Cumulative frequency of the preceding class of the median class cf |
\$cf = 12\$ |
7 |
Step |
Frequency of the median class f |
\$f = 14\$ |
8 |
Step |
class size h |
\$h = 21-19 = 2\$ |
9 |
Formula: |
Median = \$l + (n/2 -cf)/f × h\$ |
|
10 |
Step |
Substitute all the above values and solve |
Median = \$19 + (40/2 - 12)/14 × 2\$ |
11 |
Step |
Simplification |
\$19 + (20-12)/14 × 2\$ |
12 |
Step |
Simplification |
\$19 + 8/14 × 2\$ |
13 |
Step |
Simplification |
\$19 + 0.57 × 2\$ |
14 |
Step |
After simplification |
\$19 + 1.14\$ |
15 |
Step |
After addition |
\$20.14\$ |
16 |
Answer |
B = 20.14 |
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Tutor: Questions
| Seq | Type | Question | Audio |
|---|---|---|---|
1 |
Problem |
What did you learn from this problem? |
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2 |
Clue |
What did you learn from the clues? |
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3 |
Hint |
What did you learn from the Hints? |
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4 |
Step |
What did you learn from the Steps? |
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5 |
Step |
How can we improve the Steps? |
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