Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question find the median and mean of the data set below: 46, 5, 47, 6, …

Question

question find the median and mean of the data set below: 46, 5, 47, 6, 9, 43, 33 answer attempt 1 out of 2 median = 6 mean = 1

Explanation:

Step1: Arrange data in ascending order

33, 43, 46, 47, 5, 6, 9 → 5, 6, 9, 33, 43, 46, 47

Step2: Find the median

There are 7 data - points. For odd number of data - points, median is the middle value. So, median = 33.

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 7$ and $x_{i}$ are the data - points. $\sum_{i=1}^{7}x_{i}=5 + 6+9+33+43+46+47=189$. Mean $\bar{x}=\frac{189}{7}=27$.

Answer:

Median = 33
Mean = 27