Lesson Example Discussion Quiz: Class Homework |
Step-3 |
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=150\$ |
3 |
Step |
Finding median class |
\$n/2 = 150/2 = 75\$ |
4 |
Step |
Median class |
200-300 |
5 |
Step |
Lower class limit l |
\$l = 200\$ |
6 |
Step |
Cumulative frequency of the preceding class of the median class cf |
\$cf = 72\$ |
7 |
Step |
Frequency of the median class f |
\$f = 48\$ |
8 |
Step |
class size h |
\$h = 300-200 = 100\$ |
9 |
Formula: |
Median = \$l + (n/2 -cf)/f × h\$ |
|
10 |
Step |
substitute all the above values and solve |
Median = \$200 + (150/2 - 72)/48 × 100\$ |
11 |
Step |
Simplification |
\$200 + (75-72)/48 × 100\$ |
12 |
Step |
Simplification |
\$200 + 3/48 × 100\$ |
13 |
Step |
Simplification |
\$200 + 0.06 × 100\$ |
14 |
Step |
After simplification |
\$200 + 6\$ |
15 |
Step |
After addition |
\$206\$ |
16 |
Answer |
D = 206 |
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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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