Mathematics, 03.01.2020 19:31 lreese

Aset of 15 different integers has a median of 25 and a range of 25. what is the greatest possible integer that could be in this set? a. 32
b. 37
c. 40
d. 43
e. 50

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Answer from: Nathanr23

Option D.

Step-by-step explanation:

It is given that a set of 15 different integers has a median of 25 and a range of 25.

Total number of integers is 15 which is an odd number.

$(\frac{n+1}{2}) th=(\frac{15+1}{2}) th=8th$

8th integers is median. It means 8th integers is 25.

7 different integers before 25 are 18, 19, 20, 21, 22, 23, 24.

It means the greatest possible minimum value is 18.

Range = Maximum - Minimum

25 = Maximum - 18

Add 18 on both sides.

25 +18 = Maximum

43 = Maximum

The greatest possible integer in the set is 43.

Therefore, the correct option is D.

Answer from: shawntawright1

D. 43

Step-by-step explanation:

We have been given that a set of 15 different integers has a median of 25 and a range of 25.

Since each data point is different, so we can represent our data points as:

$N_1,N_2,N_3,N_4,N_5,N_6,N_7,N_8, N_9,N_{10},N_{11},N_{12},N_{13},N_{14}, N_{15}$

Since there are 15 data points, this means that median will be 8th data point.

We have been given that median is 25, so n_8=25 .

Since each data point is different, so 7 data points less than 25 would be:

18, 19, 20, 21, 22, 23, 24.

We know that range is the difference between upper value and lower value.

$\text{Range}=\text{Upper value}-\text{Lower value}$

$\text{Range}+\text{Lower value}=\text{Upper value}$

Upon substituting our given values, we will get:

$25+18=\text{Upper value}$

$43=\text{Upper value}$

Therefore, the greatest possible integer in this set could be 43 and option D is the correct choice.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

the answer is 21%.

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Aset of 15 different integers has a median of 25 and a range of 25. what is the greatest possible in...

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