in this problem, you will use desmos to compute a few statistics.\n\n• open a new browser window to the…

in this problem, you will use desmos to compute a few statistics.\n\n• open a new browser window to the page: https://www.desmos.com/calculator.\n• enter the command below, by copying and pasting the data between the brackets:\na = paste data here \n\n• to compute the mean and standard deviation, enter the commands below:\nmean(a)\nstdev(a)\nthe heights of 100 randomly selected women are recorded below.\n{ 54.0, 54.2, 54.4, 54.5, 54.7, 56.1, 56.8, 57.1, 57.1, 58.0, 58.1, 58.2, 58.2, 58.4, 58.5, 58.5, 58.5, 58.6, 58.7, 58.9, 59.3, 59.6, 59.6, 59.7, 59.8, 60.0, 60.3, 60.3, 60.3, 60.3, 60.3, 60.6, 60.8, 60.9, 60.9, 61.0, 61.0, 61.1, 61.2, 61.4, 61.5, 61.6, 61.6, 61.7, 61.8, 61.8, 62.0, 62.1, 62.1, 62.2, 62.5, 62.7, 62.7, 62.8, 62.8, 63.1, 63.1, 63.3, 63.4, 63.8, 63.9, 64.0, 64.1, 64.1, 64.1, 64.2, 64.2, 64.4, 64.5, 64.6, 64.6, 64.7, 64.7, 64.8, 64.8, 64.8, 64.9, 65.0, 65.1, 65.4, 65.5, 65.6, 65.7, 66.2, 66.2, 66.8, 66.8, 67.0, 67.1, 67.2, 67.3, 68.3, 68.7, 68.8, 69.3, 69.4, 70.2, 71.4, 72.0, 74.8 }.\nthe values are summarized by the histogram below. while the values are sampled from a normal population, once in a while the distribution will be skewed due to randomness.\n\nthe computations below should be rounded to one place more after the decimal than the data values above.\ngive the sample mean of the data set.

in this problem, you will use desmos to compute a few statistics.\n\n• open a new browser window to the page: https://www.desmos.com/calculator.\n• enter the command below, by copying and pasting the data between the brackets:\na = paste data here \n\n• to compute the mean and standard deviation, enter the commands below:\nmean(a)\nstdev(a)\nthe heights of 100 randomly selected women are recorded below.\n{ 54.0, 54.2, 54.4, 54.5, 54.7, 56.1, 56.8, 57.1, 57.1, 58.0, 58.1, 58.2, 58.2, 58.4, 58.5, 58.5, 58.5, 58.6, 58.7, 58.9, 59.3, 59.6, 59.6, 59.7, 59.8, 60.0, 60.3, 60.3, 60.3, 60.3, 60.3, 60.6, 60.8, 60.9, 60.9, 61.0, 61.0, 61.1, 61.2, 61.4, 61.5, 61.6, 61.6, 61.7, 61.8, 61.8, 62.0, 62.1, 62.1, 62.2, 62.5, 62.7, 62.7, 62.8, 62.8, 63.1, 63.1, 63.3, 63.4, 63.8, 63.9, 64.0, 64.1, 64.1, 64.1, 64.2, 64.2, 64.4, 64.5, 64.6, 64.6, 64.7, 64.7, 64.8, 64.8, 64.8, 64.9, 65.0, 65.1, 65.4, 65.5, 65.6, 65.7, 66.2, 66.2, 66.8, 66.8, 67.0, 67.1, 67.2, 67.3, 68.3, 68.7, 68.8, 69.3, 69.4, 70.2, 71.4, 72.0, 74.8 }.\nthe values are summarized by the histogram below. while the values are sampled from a normal population, once in a while the distribution will be skewed due to randomness.\n\nthe computations below should be rounded to one place more after the decimal than the data values above.\ngive the sample mean of the data set.

Answer

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points. Here $n = 100$.

Step2: Calculate the sum of data points

Sum the 100 given height values: [ \begin{align*} \sum_{i=1}^{100}x_i&=54.0 + 54.2+54.4+\cdots+74.8\ &=6217.1 \end{align*} ]

Step3: Compute the mean

Using the formula $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, with $n = 100$ and $\sum_{i=1}^{100}x_i=6217.1$, we get $\bar{x}=\frac{6217.1}{100}=62.171\approx62.2$

Answer:

$62.2$