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stats sem 1 midterm review

Authored by Dennis Smith

Mathematics

12th Grade

Used 1+ times

stats sem 1 midterm review
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14 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements are converted from meters to centimeters by multiplying each measurement by 100. Which of the following statistics will remain the same for both units of measure?

The mean of the height measurements

The median of the height measurements

c. The standard deviation of the height measurements

d. The maximum of the height measurements

e. The z-scores of the height measurements.

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements are converted from meters to centimeters by multiplying each measurement by 100. If the shape of the original distribution is unimodal and symmetric, what will be the shape of the transformed distribution?

unimodal and symmetric

bell shaped

Normal

approximately Normal

not enough information

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A candy company produced individually wrapped candies. The quality control manager for the company believes the weight of the candies is approximately normally distributed with mean 720 mg. Assume that the manager’s assumption is correct. Which of the following intervals will contain the largest proportion of candies in the distribution of weights?

740 mg to 780 mg

700 mg to 740 mg

680 mg to 720 mg

660 mg to 700 mg

620 mg to 660 mg

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

The amount of time required for each of 100 mice to navigate through a maze was recorded. The histogram shows the distribution of times, in seconds, for the 100 mice Which of the following is closest to the standard deviation of the 100 times?

2.5 sec

10 sec

20 sec

50 sec

90 sec

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A graph of the selling prices of homes in a certain city for the month of April reveals that the distribution is skewed to the left. Which of the following conclusions is most reasonable?

a. The mean is greater than the median

b. The median is the average of the first and third quartile

c. There are fewer selling prices between the first quartile and median than there are between the median and the third quartile.

d. There are more selling prices that are less than the mean than selling prices that are greater than the mean.

e. The value of the maximum minus the third quartile is less than the value of first quartile minus the minimum.

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If a distribution is symmetric, which of the following statements must be true?

The distribution is Normal

The distribution is uniform

the distribution is bimodal

the mean is equal to the median

the IQR is equal to the standard deviation

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The number of hurricanes reaching the East Coast of the USA was recorded for each of the last 10 decades by the National Hurricane Center. The 5 number summary is:

Min=12

Q1=15

Median=16

Q3=18

Max=24

Which of the following statments is true?

a. The smallest observation is 12 and it is an outlier. No other observations in the data set could be outliers.

b. The largest observation is 24 and it is an outlier. No other observations in the data set could be outliers.

c. Both 12 and 24 are outliers. It is possible that there are other outliers.

d. 12 is an outlier and it is possible that there are other outliers at the low end of the data set. There are no outliers on the high end of the data set.

e. 24 is an outlier and it is possible that there are other outliers at the high end of the data set. There are no outliers on the low end of the data set.

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