Question

question
find the median and mean of the data set below:
3, 41, 19, 23, 48, 7, 48
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Find the Median

First, we need to sort the data set in ascending order. The data set is \(3, 41, 19, 23, 48, 7, 48\). After sorting, we get \(3, 7, 19, 23, 41, 48, 48\). Since there are 7 (an odd number) of data points, the median is the middle value, which is the 4th value. So the median is \(23\).

Step2: Find the Mean

The mean is calculated by summing all the values and dividing by the number of values. The sum of the data set is \(3 + 7 + 19 + 23 + 41 + 48 + 48\). Let's calculate that: \(3+7 = 10\), \(10+19 = 29\), \(29+23 = 52\), \(52+41 = 93\), \(93+48 = 141\), \(141+48 = 189\). There are 7 data points, so the mean is \(\frac{189}{7}=27\).

Answer:

Median = \(23\), Mean = \(27\)