Consider the list of six numbers: $4,\ p,\ 7,\ 15,... | Free GMAT Practice Question | GMAT Panda

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Consider the list of six numbers: 4, p, 7, 15, q, 7 . The arithmetic mean of these six numbers is 8 . If p and q are integers and p is not equal to q, what is the median of the list?

Explanation	Calculations	Help
$We first translate the fact that the "arithmetic mean of these six numbers is 8" into an equation relating their sum to the mean.$	$4 + p + 7 + 15 + q + 7 = 8 \times 6$
$We then simplify both sides by combining the constant terms.$	$33 + p + q = 48$
$Next, we isolate the sum of p and q by subtracting 33 from both sides.$	$p + q = 15$
$When we order the six numbers from least to greatest, the two 7s become the third and fourth numbers in the list.$	$3^{rd} number = 7 4^{th} number = 7$
$We then calculate the average of these two middle values to find the median.$	$\frac{7 + 7}{2} = 7$	Theory & Tactics Method Card FDPR0-E Click to view full details

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C

Consider the list of six numbers: 4, p, 7, 15, q, 7 . The arithmetic mean of these six numbers is 8 . If p and q are integers and p is not equal to q, what is the median of the list?

Explanation	Calculations	Help
$We first translate the fact that the "arithmetic mean of these six numbers is 8" into an equation relating their sum to the mean.$	$4 + p + 7 + 15 + q + 7 = 8 \times 6$
$We then simplify both sides by combining the constant terms.$	$33 + p + q = 48$
$Next, we isolate the sum of p and q by subtracting 33 from both sides.$	$p + q = 15$
$When we order the six numbers from least to greatest, the two 7s become the third and fourth numbers in the list.$	$3^{rd} number = 7 4^{th} number = 7$
$We then calculate the average of these two middle values to find the median.$	$\frac{7 + 7}{2} = 7$	Theory & Tactics Method Card FDPR0-E Click to view full details

Scroll horizontally to view all columns

C