Question

Compute median from the following data

Mid-values

 115 125 135 145 155 165 175 185 195
Frequenecy 6 25 48 72 116 60 38 22 3

 

17 Aug 2021
Answer :
Word Count : 674

To compute the median from the given data, we will follow these steps:

1. Find the cumulative frequency.
2. Calculate the median class.
3. Apply the median formula to determine the median.

Let's break down each step in detail:

### Step 1: Find the cumulative frequency

The cumulative frequency is calculated by adding up the frequencies progressively from the first class interval to the last. Here's the cumulative frequency table:

| Mid-Value | Frequency (f) | Cumulative Frequency (C.F.) |
|-----------|---------------|-----------------------------|
| 115       | 6             | 6                           |
| 125       | 25            | 6 + 25 = 31                 |
| 135       | 48            | 31 + 48 = 79               _______ ______ ________ _________ ___ _____ _____.
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