Question

part 3: act fundamentals (extra credit!) extra credit points will be awarded after homework closure deadline. miss parks animal science classes have an exciting project this month. her beloved madagascar hissing cockroaches are about to give birth! the class carefully tracks how many nymphs emerge from each mother hisser, as shown in the following table: mother hisser name bugzilla shelly leggy flopsy bitey tickles skittles pickles number of babies 37 31 35 36 39 52 46 35 using this data, determine the mean, median, and mode of the data set: mean: median: mode:

Explanation:

Step1: Calculate the mean

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, $n = 8$, and $\sum_{i=1}^{8}x_{i}=37 + 31+35 + 36+39+52+46+35=311$. So, $\bar{x}=\frac{311}{8}=38.875$.

Step2: Calculate the median

First, order the data: $31,35,35,36,37,39,46,52$. Since $n = 8$ (an even number), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data - points. The $\frac{n}{2}=4$th value is $36$ and the $(\frac{n}{2}+1)=5$th value is $37$. So, the median $=\frac{36 + 37}{2}=36.5$.

Step3: Calculate the mode

The mode is the data - point that appears most frequently. In the data set $31,35,35,36,37,39,46,52$, the number $35$ appears twice and all other numbers appear only once. So, the mode is $35$.

Answer:

Mean: $38.875$
Median: $36.5$
Mode: $35$