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3 years ago

The median of the data set is 18 what number is missing 12, 17, 21, 13, 25

Mathematics

2 answers:

zysi [14]3 years ago

8 0

You need 19 because the median would be the middle of 17 and 19 which would be 18

denis-greek [22]3 years ago

5 0

Answer:

The missing number in the data set is 19

Step-by-step explanation:

The data set is given to be : 12, 17, 21, 13, 25

The median of the data set is given to is 18

Now, to find the median first arrange the data set in the increasing order

So, The data set would be : 12, 13, 17, 21, 25

Now, let the missing number be x

So, The total number of terms in the data set will be 6 that is even.

Now, insert the missing number in between

⇒ The data set will become : 12, 13, 17, x, 21, 25

Now, Median = Mean of 3rd and 4th term

⇒ 18 = Mean of 17 and x

⇒ 18 × 2 = x + 17

⇒ x = 19

Therefore, The missing number in the data set is 19

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Suppose the parent population has an exponential distribution with a mean of 15 and standard deviation of 12. Use the Central Li

bazaltina [42]

Answer:

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 15

Standard deviaiton = 12

Sample of 30

By the Central Limit Theorem

Mean 15

Standard deviation $s = \frac{12}{\sqrt{30}} = 2.19$

Approximately normal

The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.

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3 years ago

What does 3 9/10 + 4/5 equal?

andreyandreev [35.5K]

3 9/10 + 4/5

39/10 + 4/5

39/10 + 8/10

47/10= 4 7/10

4 0

3 years ago

Read 2 more answers

Consider the polynomial f(x) = 5x4+ 3x2+ x + 19. How many complex solutions does the polynomial have?

antiseptic1488 [7]

Answer:

there are 4 complex solutions
3 real zeros and 2 complex zeros

Step-by-step explanation:

1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.

2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.