Sat math questions help?

Test Preparation SAT Preparation
1

<p>Hey all,</p>

<p>I have 2 math questions that have me stumped…</p>

<li><p>The least and greatest numbers in a list of 7 real numbers are 2 and 20, respectively. The median of the list is 6, and the number 3 occurs most often in the list. Which of the following could be the average (arithmetic mean) of the numbers in the list?</p></li>
<li><p>7</p></li>
<li><p>8.5</p></li>
<li><p>10</p></li>
</ol>

<p>a. 1 only
b. 1 and 2
c. 1 and 3
d. 2 and 3
e. 1,2, and 3</p>

<li>In the xy-coordinate plane, how many points are a distance of 4 units from the origin?</li>
</ol>

<p>a. 1
b. 2
c. 3
d.4
e. 5</p>

<p>Thanks!</p>

2

<p>1) Three must occur twice in order for six to be the median.
The two numbers between 2,3,3,6, and 20 are the variable ones.
2, 3, 3, 6, x, y, 20</p>

<p>Set up the equation to calculate the mean. Set the equation to each of the possible answers.</p>

<p>(2 + 3 + 3 +6 + 20 + x + y)/7 = 7</p>

<p>After rearranging, x + y = 15
Any two distinct numbers between 6 and 20 that adds to 15 will produce a mean of 7.
2, 3, 3, 6, 7, 8, 20 provides a mean of seven.</p>

<p>Do the same for 8.5 and 10.</p>

<p>x + y = 25.5</p>

<p>2, 3, 3, 6, 8.5, 17, 20 provides a mean of 8.5</p>

<p>x + y = 36</p>

<p>2, 3, 3, 6, 17, 19, 20 provides a mean of 10.</p>

<p>e)?
If we are talking about integers only, then c).</p>

<p>2) This question seems sketchy. A circle with radius four centered about the origin should have an infinite number of points a distance of four from the origin.
If we are talking about integers only, then maybe the points four units away on each quadrant axis would give the right answer?</p>

<p>d)?</p>

3

<p>where did you get these math questions? They seem iffy to me.</p>

<p>The first doesn't clarify if it means integers or all numbers
The second as the poster said, there are infinite number of points 4 units from (0,0)</p>

4

<p>Yeah, these questions are very weird. The second one is infinity.</p>

<p>The first one clarifies it's real numbers, so you could automatically assume E. I think they meant integers though.</p>

5

<p>hey , the second question may be " In the xy-coordinate plane axis " in this case the answer is 4 ( 4,0 0,4 -4,0 0,-4 ) check it again if it is like this. if not the answer is infiniite since there are infinite points on a circle .</p>