Question

Let’s do it this way: Answer the following questions briefly.
1) The median of the ranked list 3, 4, 7, 11, 17, 29, 37 is 11. If the maximum value 37 is increased to 55, what effect will this have on the median?
Answer:

2) Can the variance of a data set be less than the standard deviation of the data set?
Answer:

3) What does a z-score of 3 for a data value x represent? What does a z-score of -1 for a data value x represent?
Answer:

4) What is the area under the curve to the right of the mean for a normal distribution?
Answer:

5) Can the Empirical Rule be applied to all data sets?
Answer:

Answer 1

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my diba na na post par padhiti your

Answer:

b

Step-by-step explanation:

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Answer 2

Answer:

1) No

2) Yes

3) higher or lower

4) $\sqrt{2\pi }$ or 1

5) No

Step-by-step explanation:

1) Since median is a positional value, it's going to now no longer change despite the fact that the extreme values are altered.

2) If the variance is less than 1 as we recognize that square of a number is lesser than the number itself if the number is among 0 to 1 and variance is the square of standard deviation then the variance can be less than the standard deviation.

3) A z-score tells you where the score lies on a normal distribution curve. A z-score of 3 represents the value is higher than the average whereas -1 represent that it is lower than the average.

4)   $\int\limits^a_b {exp(-0.5x^{2} )} \, dx = \sqrt{2\pi}$     where a = ∞ and b = -∞

5) The Empirical Rule does not apply to all data sets, only to to the ones which can be bell-shaped.

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