How many words per minute should a 6th grader read

Asked by admin @ 09/11/2021 in Mathematics viewed by 421 People

48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. (a) What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

Answered by admin @ 09/11/2021

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 125, \sigma = 24$

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

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

$1.28 = \frac{X - 125}{24}$

$X - 125 = 1.28*24$

$X = 155.72$

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

A single serving bag of snack chips contains 65.0 cal. assuming that all of the energy from eating these chips goes toward keeping your heart beating, how many hours can these chips sustain a heartbeat of 73 beats per minute?

Asked by maham237 @ 10/01/2021 in Chemistry viewed by 444 persons

Onah teaches pet-training classes at the happy tails doggy daycare. yesterday, he taught 2 tricks to a group of dogs during a 30-minute class. jonah decided to create a longer class lasting 75 minutes. if he teaches tricks at the same rate, how many tricks will jonah teach during the 75-minute class?

Asked by eesha362 @ 01/04/2022 in Math viewed by 345 persons

How many words per minute should a 6th grader read

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