Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the (a) mean, (b) median, (c) mode, and (d) midrange for the data …

Question

find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. what do the results tell us? 20 39 14 81 15 34 78 9 29 85 28 a. find the mean. the mean is . (type an integer or a decimal rounded to one decimal place as needed.)

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are data - points and $n$ is the number of data - points. Here $n = 11$, and the data points are $x_1=20,x_2 = 39,x_3=14,x_4 = 81,x_5=15,x_6 = 34,x_7=78,x_8 = 9,x_9=29,x_{10}=85,x_{11}=28$.

Step2: Calculate the sum of data points

$\sum_{i = 1}^{11}x_{i}=20 + 39+14 + 81+15+34+78+9+29+85+28=432$.

Step3: Calculate the mean

$\bar{x}=\frac{432}{11}\approx39.3$.

Answer:

$39.3$