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Zigmanuir [339]
2 years ago
7

Need help will mark brainliest...

Mathematics
1 answer:
Xelga [282]2 years ago
4 0

Answer:

Step-by-step explanation:

Step-by-step explanation:

The given data set is:

Week 1: 600

Week 2: 300

Week 3: 500

Week 4: 900

The following are the steps to find the standard deviation:

Step 1. Jim enters the data and calculates the average or mean.

Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value.

Data value (x)                                                              

600                                                                           25

300                                                                         -275

500                                                                         -75

900                                                                          325

Step 3. Jim squares each deviation to remove negative signs.

Data value (x)                                                            

600                                                                       625

300                                                                    75625

500                                                                      5625

900                                                                   105625

Step 4. Jim sums the squares of each deviation and divides by the count for the variance.

Step 5.Jim takes the square root of the variance to find the standard deviation.

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Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

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

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

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SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \mu = 1511, \sigma = 312

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

1.645 = \frac{X - 1511}{312}

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Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

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X - 21.1 = 1.645*5.1

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