Find the median and mode of this set of data 5 , 1, 3, 5, 8 , 10, 8, 14

Mathematics

2 answers:

raketka [301]3 years ago

8 0

The answer is 5 and 8

kobusy [5.1K]3 years ago

3 0

Answer:

Mode: 5 and 8

Median: 6.5

Step-by-step explanation:

Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others) or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.

Median - The middle number. To start, order your numbers from least to greatest.

1, 3, 5, 5, 8, 8, 10, 14

You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2

8 + 5 = 13

13/ 2 = 6.5

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A bee flies 25 m north of the hive then 10 m east 5 m west and 10 m south. How far north and east of the hive is it now? Explain

mafiozo [28]

Answer:

20 meters north.

Step-by-step explanation:

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5 0

3 years ago

Solve for x.

Nonamiya [84]

$-\dfrac{2}{3}(3x-4)+3x=\dfrac{5}{6}\ \ \ \ |\text{use distributive property}\\\\-\dfrac{2}{\not3_1}\cdot\not3^1x+\dfrac{8}{3}+3x=\dfrac{5}{6}\\\\-2x+3x+\dfrac{8}{3}=\dfrac{5}{6}\ \ \ \ |-\dfrac{8}{3}\\\\x=\dfrac{5}{6}-\dfrac{8}{3}\\\\x=\dfrac{5}{6}-\dfrac{8\cdot2}{3\cdot2}\\\\x=\dfrac{5}{6}-\dfrac{16}{6}\\\\\boxed{x=-\dfrac{11}{6}}$

Other method:

$-\dfrac{2}{3}(3x-4)+3x=\dfrac{5}{6}\ \ \ \ |\cdot6\\\\2(-2)(3x-4)+18x=5\\\\-4(3x-4)+18x=5\ \ \ \ |\text{use distributive property}\\\\-12x+16+18x=5\ \ \ \ |-16\\\\6x=-11\ \ \ \ |:6\\\\\boxed{x=-\dfrac{11}{6}}$