based on the two data sets represented below, complete the following sentences.
data set u
data set v
answer attempt 1 out of 2
the mean of data set u is than the mean of data set v. the range of data set u is than the range of data set v.

Question

Accepted Answer

# Explanation:
## Step1: Calculate the mean of Data Set U
First, find the sum of the data.
$$
\begin{align*}
&(23\times5)+(24\times6)+(25\times2)+(26\times2)+(27\times5)+(28\times1)+(29\times4)\
=&115 + 144+50 + 52+135+28+116\
=&640
\end{align*}
$$
The total number of data points $n = 5 + 6+2 + 2+5+1+4=25$.
The mean of Data Set U, $\bar{x}_U=\frac{640}{25}=25.6$

## Step2: Calculate the mean of Data Set V
$$
\begin{align*}
&(23\times2)+(25\times3)+(26\times3)+(27\times1)+(28\times2)+(29\times4)+(30\times1)+(31\times2)+(32\times1)+(33\times6)\
=&46+75 + 78+27+56+116+30+62+32+198\
=&720
\end{align*}
$$
The total number of data points $n = 2+3 + 3+1+2+4+1+2+1+6=25$.
The mean of Data Set V, $\bar{x}_V=\frac{720}{25}=28.8$

## Step3: Calculate the range of Data Set U
The range is the difference between the maximum and minimum values. For Data Set U, $Range_U=29 - 23=6$

## Step4: Calculate the range of Data Set V
For Data Set V, $Range_V=33 - 23=10$

# Answer:
The mean of Data Set U is less than the mean of Data Set V. The range of Data Set U is less than the range of Data Set V.

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate the mean of Data Set U

Step2: Calculate the mean of Data Set V

Step3: Calculate the range of Data Set U

Step4: Calculate the range of Data Set V

Answer: