Finite Math Examples

$0 - 49$ , $50 - 99$ , $100 - 149$ , $150 - 199$ , $200 - 249$ , $250 - 299$ , $300 - 349$

Step 1

The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the following statistics:

1. Minimum (Min) - the smallest observation

2. Maximum (Max) - the largest observation

3. Median $M$ - the middle term

4. First Quartile $Q_{1}$ - the middle term of values below the median

5. Third Quartile $Q_{3}$ - the middle term of values above the median

Step 2

Arrange the terms in ascending order.

$0 - 49, 50 - 99, 100 - 149, 150 - 199, 200 - 249, 250 - 299, 300 - 349$

Step 3

The minimum value is the smallest value in the arranged data set.

$0 - 49$

Step 4

The maximum value is the largest value in the arranged data set.

$300 - 349$

Step 5

The median is the middle term in the arranged data set.

$150 - 199$

Step 6

Find the first quartile by finding the median of the set of values to the left of the median.

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Step 6.1

The lower half of data is the set below the median.

$0 - 49, 50 - 99, 100 - 149$

Step 6.2

The median is the middle term in the arranged data set.

$50 - 99$

Step 7

Find the third quartile by finding the median of the set of values to the right of the median.

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Step 7.1

The upper half of data is the set above the median.

$200 - 249, 250 - 299, 300 - 349$

Step 7.2

The median is the middle term in the arranged data set.

$250 - 299$

Step 8

The five most important sample values are sample minimum, sample maximum, median, lower quartile, and upper quartile.

$Min = 0 - 49$

$Max = 300 - 349$

$M = 150 - 199$

$Q_{1} = 50 - 99$

$Q_{3} = 250 - 299$