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Yuki888 [10]
3 years ago
7

A middle school contains sixth, seventh, and eighth graders. Each grade level contains approximately the same number of students

. The principal wants to find the answer to a survey question affecting each student in the school. He asks a sample group “What time do you get up in the morning?” Which of these characteristics define the best sample?
one student chosen at random from each grade level
an equal number of students chosen at random from each grade level
the first 10 students from each grade level to arrive at school in the morning
all students arriving on one bus
Mathematics
2 answers:
AysviL [449]3 years ago
6 0
I think the answer will be an equal number of students chosen at random from each grade level. Hope it help!
astraxan [27]3 years ago
4 0

Answer:

"Sample in statistics is a small quantity that shows you what the rest is or should be like" .

The best sample would be:

an equal number of students chosen at random from each grade level.

Since by randomly selecting some students such that there are equal number of students from each grade we could easily get the information of all the students.


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Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

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(a) Calculate the sample mean. Round your answer to 3 decimal places.

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= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

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(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

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