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Mathematics

1 answer:

ziro4ka [17]4 years ago

4 0

Step-by-step explanation:

From the problem we know that:

Roses come in bunches of 12

Lilies come in bunches of 8

The number of Roses and Lilies were the same

1) We are looking for the multiple of 12 and 8. This would be 96. This could mean that there were 8 bunches of roses and 12 bunches of lilies. This would be a total of 20 bunches

Another option could be 48 of each. This would mean that there were 4 bunches of roses and 6 bunches of lilies. Giving a total of 10 bunches of flowers.

2) For this one, we are looking for the smallest multiple of both 8 and 12. This would be 24. That means that there would be 2 bunches of roses and 3 bunches of lilies. This would be a total of 5 bunches of flowers, the smallest number that could have been ordered.

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Using statistical concepts, we have that:

a. The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

b. The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

<h3>Range and standard deviation:</h3>

The range of a data-set is given by the difference <u>between the highest value and the lowest value in the data-set</u>.

The standard deviation of a data-set is given by the <u>square root of the sum of the difference squared of each observation and the mean, divided by the number of observations</u>.

Item a:

The lowest value is of 0.

The highest value is of 6.

Hence:

The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

Item b:

The mean is:

$M = \frac{0 + 1 + 4 + 0 + 0 + 6 + 3}{7} = 2$