**Understanding Median in Frequency Distribution**To find the median of given data within a frequency distribution, follow the steps outlined here. A table is provided to show the scores (x) and their corresponding frequencies (f):| Score, x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 ||-----------------|---|---|---|---|---|---|---|---|| Frequency, f | 4 | 1 | 3 | 2 | 2 | 3 | 5 | 2 |### Explanation1. **Total Frequency (N):** Add the frequencies to get the total number of observations. \[ N = 4 + 1 + 3 + 2 + 2 + 3 + 5 + 2 = 22 \]2. **Cumulative Frequency:** Calculate cumulative frequencies to determine where the median lies. - For score 1: $ 4 $ - For score 2: $ 4 + 1 = 5 $ - For score 3: $ 5 + 3 = 8 $ - For score 4: $ 8 + 2 = 10 $ - For score 5: $ 10 + 2 = 12 $ - For score 6: $ 12 + 3 = 15 $ - For score 7: $ 15 + 5 = 20 $ - For score 8: $ 20 + 2 = 22 $3. **Finding the Median:** - The position of the median is $ \frac{N + 1}{2} = \frac{22 + 1}{2} = 11.5 $ - The median lies between the 11th and 12th data points. - Based on cumulative frequencies, both the 11th and 12th data points fall into the score of 5.Thus, the median is **5**.Please input the median using an integer or a decimal where indicated.

We have given that, x f 1 42 13 34 25 26 37 58 2 Then, We…

Answered: Find the median for the data items in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the median for the data items in the given frequency distribution. Score, x Frequency, f 4 6. 7 8 2. 2. The median is (Type an integer or a decimal.)