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2 years ago

What are the common factors of 24 and 36

Mathematics

1 answer:

sveticcg [70]2 years ago

7 0

Answer:

Step-by-step explanation:

24 - 1,2,3,4,6,8,12,24

36 - 1,2,3,4,6,9,12,36

common factors are - 1,2,3,4,6,12

gcf - 12

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A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given

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Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

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For positively skewed distribution, $Mean > Median>Mode$

For negatively skewed distribution, $Mean < Median$

The mean of the given data set is given below:

$Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}$

$=\frac{753}{26}$

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Now, the Median is:

To find the median we need to sort the data in ascending order as:

$20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54$

$Median=\left(\frac{N+1}{2} \right)^{th} item$

$=\left(\frac{26+1}{2}\right)^{th} item$

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$\therefore Median = 26.5$

The mode is the most frequently occurring observation. Therefore the mode is:

$Mode=23$

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3 years ago