Calculating Mean Absolute Deviation

Mathematics

2 answers:

mezya [45]2 years ago

4 0

Answer:mean 33

Step-by-step explanation:

mad 6

Rus_ich [418]2 years ago

3 0

Answer:

mean =33

mad = 6

Step-by-step explanation:

First we need to find the mean

Add up all the numbers and divide by the number of numbers)

(29+ 20+ 36+ 44+ 30+ 32+ 40)/7

231/ 7

To find the mean absolute deviation

take the positive difference for each term and then divide by the number of terms

((33-29)+ (33-20)+ (36-33)+ (44-33)+ (33-30)+ (33-32)+ (40-33))/7

42/7

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The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

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Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 28, \sigma = 6$