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

find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. listed below are foot lengths in inches of randomly selected women in a study of a countrys military in 1988. are the statistics representative of the current population of all women in that countrys military? 9.7 10.3 9.1 10.3 9.8 9.4 9.0 10.2 9.9 9.1 9.1 a. find the mean. the mean is □ inch(es). (type an integer or a decimal rounded to two decimal places as needed.)

find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. listed below are foot lengths in inches of randomly selected women in a study of a countrys military in 1988. are the statistics representative of the current population of all women in that countrys military? 9.7 10.3 9.1 10.3 9.8 9.4 9.0 10.2 9.9 9.1 9.1 a. find the mean. the mean is □ inch(es). (type an integer or a decimal rounded to two decimal places as needed.)

Answer

Explanation:

Step1: Recall mean formula

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. The data set is $9.7,10.3,9.1,10.3,9.8,9.4,9.0,10.2,9.9,9.1,9.1$. Here $n = 11$.

Step2: Calculate the sum of data - points

$\sum_{i=1}^{11}x_{i}=9.7 + 10.3+9.1+10.3+9.8+9.4+9.0+10.2+9.9+9.1+9.1$ $=9.7+10.3+(9.1\times3)+10.3+9.8+9.4+9.0+10.2+9.9$ $=20 + 27.3+10.3+9.8+9.4+9.0+10.2+9.9$ $=47.3+10.3+9.8+9.4+9.0+10.2+9.9$ $=57.6+9.8+9.4+9.0+10.2+9.9$ $=67.4+9.4+9.0+10.2+9.9$ $=76.8+9.0+10.2+9.9$ $=85.8+10.2+9.9$ $=96+9.9$ $=105.9$

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{105.9}{11}\approx9.63$

Answer:

$9.63$