enzo received the following 5 scores on his math assignments. 100, 95, 90, 98, 92. find the mean and median…

enzo received the following 5 scores on his math assignments. 100, 95, 90, 98, 92. find the mean and median. which measure of center would best represent the data? the mean the median both the mean and the median neither the mean nor the median

enzo received the following 5 scores on his math assignments. 100, 95, 90, 98, 92. find the mean and median. which measure of center would best represent the data? the mean the median both the mean and the median neither the mean nor the median

Answer

Answer:

  1. Mean: 95
  2. Median: 95
  3. C. both the mean and the median

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 5$, $x_1=100$, $x_2 = 95$, $x_3=90$, $x_4=98$, $x_5=92$. $\bar{x}=\frac{100 + 95+90+98+92}{5}=\frac{475}{5}=95$

Step2: Calculate the median

First, arrange the data in ascending order: 90, 92, 95, 98, 100. Since $n = 5$ (an odd number), the median is the middle value. The middle value is the 3rd value when the data is arranged in ascending order, so the median is 95.

Step3: Determine the best measure of center

Since the mean and the median are equal ($95$), both the mean and the median can represent the data well.