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3 years ago

Mediam of 50+45+49+50+43+49+45+49+45+47+44+51+51+44+47+46+50+44+51+49+43+43+49+45+46+45+51+46

Mathematics

1 answer:

Doss [256]3 years ago

8 0

Answer:

The median is equal 46.5

Step-by-step explanation:

to find the median, we will need to rearrange the numbers in ascending order, so we will have

43, 43, 43, 44, 44, 44, 45, 45, 45, 45, 45, 46, 46, 46, 47, 47, 49, 49, 49, 49, 49, 50, 50, 50, 51, 51, 51, 51

Note that there are 28 numbers in total, therefore the median will fall in between the fourteenth and the fifteenth number which are 46 and 47 respectively.

Since we are considering two figures as median, we will need to find the average, which will be

(46 + 47)/2 = 46.5

The median is therefore 46.5

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2 years ago

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Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

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We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

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The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

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P(Z > $\frac{x-460}{40}$ ) = 0.10

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${x-460}{} =1.2816\times 40$

$x$ = 460 + 51.264 = 511.264 seconds

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

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