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3 years ago

{1,2,3,...75,76,77,78}

Mathematics

1 answer:

Vinvika [58]3 years ago

7 0

Answer:

Step-by-step explanation:

even numbers are 2,4,6,...,78

it is an A.P.

first term a=2

c.d. d=4-2=2

an=a+(n-1)d

78=2+(n-1)2

76=(n-1)2

n-1=76/2=38

n=38+1=39

now we take multiples of 10

10,20,30,...,70

70=10+(n-1)10

60=(n-1)10

n-1=60/10=6

n=6+1=7

so reqd. number of numbers=39-7=32

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What will be the value of median of a moderately asymmetrical distribution? If the mean and mode are 30 and 24 respectively.

sineoko [7]

The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.

The median of the moderately asymmetrical distribution is 26

The given parameters are:

$Mean = 30$

$Mode = 24$

For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:

$Mode = 3 * Median - 2 * Mean$

Substitute known values

$30= 3 * Median - 2 * 24$

$30= 3 * Median - 48$

Collect like terms

$3 * Median =30+ 48$

$3 * Median =78$

Divide both sides by 3

$Median =26$