Question

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

Explanation:

Step1: Calculate the mean of Data Set H

Count the number of data points in each value of Data Set H:

• 64: 1
• 65: 4
• 66: 5
• 67: 4
• 68: 2
• 69: 2
• 71: 1
• 72: 3
• 73: 3

The sum of the data points is \(64\times1 + 65\times4+66\times5 + 67\times4+68\times2+69\times2+71\times1+72\times3+73\times3\)

$$
LATEXBLOCK0
$$

The total number of data points \(n_{H}=1 + 4+5 + 4+2+2+1+3+3=25\)
The mean of Data Set H, \(\bar{x}_{H}=\frac{1702}{25}=68.08\)

Step2: Calculate the mean of Data Set I

Count the number of data points in each value of Data Set I:

• 68: 5
• 69: 1
• 70: 5
• 71: 2
• 72: 3
• 73: 3
• 74: 6

The sum of the data points is \(68\times5+69\times1 + 70\times5+71\times2+72\times3+73\times3+74\times6\)

$$
LATEXBLOCK1
$$

The total number of data points \(n_{I}=5 + 1+5+2+3+3+6=25\)
The mean of Data Set I, \(\bar{x}_{I}=\frac{1780}{25}=71.2\)

Step3: Calculate the range of Data Set H

The range is the difference between the maximum and minimum values. For Data Set H, \(Range_{H}=73 - 64=9\)

Step4: Calculate the range of Data Set I

For Data Set I, \(Range_{I}=74 - 68 = 6\)

Answer:

The mean of Data Set H is less than the mean of Data Set I. The range of Data Set H is greater than the range of Data Set I.