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dangina [55]
1 year ago
7

Margie and Sam collected stamps. Margie collected 4 times as many stamps as sam. together they have 210. how many stamps does ea

ch person have?
Mathematics
1 answer:
Musya8 [376]1 year ago
5 0

Ok, so:

To do this problem, first, we assign variables.

Let x be the smaps that Many collected.

If Margie collegted 4 times as many stamps as Sam, Margie collected 4x stamps.

Then, we know that both of them have 210.

So x + 4x = 210.

Solving the equation:

5x = 210

And x = 42.

Many collected 42 stamps.

Now, we use the last fact to find how many stamps Margie collected.

Margie collected 4x stamps, that is 4(42), which is equal to 168 stamps.

Margie collected 168 stamps.

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The IQR is 42.5

Step-by-step explanation:

Interquartile range is the difference of third and first quartile.

First of all we have to find the median for that purpose the data has to be arranged in ascending order. The data is already in ascending order.

As the number of values are odd

n=21

The median will be: (\frac{n+1}{2}) th\ term

Putting n=21

(\frac{21+1}{2})th\ term\\=(\frac{22}{2})th\ term\\= 11th\ term

The 11th term is 133

So median = 133

Now the data is divided into two halves

One is: 98, 100, 101, 102, 108, 109, 111,118, 129, 132

2nd is: 135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q1 will be the median of first half and Q3 will be the median of 2nd half.

As now the halves contain even number of values, the medians will be the average of middle two values

<u>For First Half:</u>

98, 100, 101, 102, <u>108, 109</u>, 111,118, 129, 132

Q_1 = \frac{108+109}{2}\\Q_1 = \frac{217}{2}\\Q_1 = 108.5

<u>For Second Half:</u>

135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q_2 = \frac{146+156}{2}\\Q_2 = \frac{302}{2}\\Q_2 = 151

Now

<u>Interquartile Range:</u>

IQR = Q_3-Q_1\\= 151-108.5\\=42.5

Hence,

The IQR is 42.5

Keywords: Median, IQR

Learn more about median at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrianly

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