Which set has the greatest range?

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

D) {112, 6, 24, 20, 44, 15, 29}

Step-by-step explanation:

Range is the largest number minus the smallest number in the set.

Below I have found the range of each of the following answers. Once you figure out the ranges, the largest one is your answer.

A) 44 - 8 = 34

B) 119 - 16 = 103

C) 31 - 9 = 22

D) 112 - 6 = 106

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Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$