Answer:
1. |r| = 1/4. or 0.25
2. Since r < 1, the geometric series is convergent.
3. To obtain the sum, we consider the formula of obtaining the sum to infinity of a geometrical series;
S = a /(1 - r)
where a = 2 ( first term)
r = 0.25 ( common ratio)
Therefore:
S = 2 /( 1 - 0.25)
= 2 / 0.75
= 8/3 or 2.6667
Hence, the sum is 8/3
<span>27 142 145 146 154 162
27 is definitely an outlier. You could temporarily drop it and focus on
</span>{142 145 146 154 162}. The median of this 5-numeral set is 146; it'd be a good "center." So would the mean (<span>142 +145 +146 +154 +162) /5. No one value shows up more than once, so forget about "mode."
</span>
The method which would accurately estimate this percentage
is number 4. Since, the target participants of the survey are people of the town,
the best way to get answers is to give every chance to all to share their
opinions regardless of age or status.
1. 1/2. 3+1/8 = 4/8 = 1/2
2. 1/4. 3+1/16 = 4/16 = 1/4