I need help on Number 1 and number 2

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

How to find the MAD:
1) Add all numbers
2) divide by a number of numbers given
3) if told, round
1. The mean absolute deviation of a set of data is the average distance between each data value and the mean. The mean number of contacts stored and the distance each data value is from the mean is shown below. Each data value is represented<span> by an ×.
the mean MAD is 129.4. rounded, it will be 129.

2. splash of lagoon: 89.6 rounded is 90
wild water bay: 116.6 rounded is 117
The height of the waterslides at splash lagoon varied less than the height of the water slides at wild water bay. The waterslides at wild water bay varied more probably because they overall were taller waterslides.</span>

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Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

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