Question

2 - 14. here are the lengths (in inches) of snakes in a reptile display at the zoo: 10, 31, 36, 36, 38, 42, 47, 48, 49 and 52. find the mean and median of the lengths. homework help
thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. for each part below, if the next marble is drawn, find the probability for the given draw. write your

Explanation:

Step1: Calculate the mean

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here, $n = 10$ and the data - set is $10,31,36,36,38,42,47,48,49,52$.
$\sum_{i=1}^{10}x_i=10 + 31+36+36+38+42+47+48+49+52=399$.
So, $\bar{x}=\frac{399}{10}=39.9$.

Step2: Calculate the median

First, arrange the data in ascending order (which it already is: $10,31,36,36,38,42,47,48,49,52$). Since $n = 10$ (an even number), the median $M$ is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered observations.
$\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$. The 5th value is $38$ and the 6th value is $42$.
So, $M=\frac{38 + 42}{2}=\frac{80}{2}=40$.

Answer:

Mean: $39.9$, Median: $40$