Ch 3 test

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Following are the closing prices (in dollars) of a certain stock for the past 20 trading days.Find the population standard deviation for the closing prices. 153.21, 151.33, 155.74, 147.55,123.45,151.24,145.02,127.33,157.17, 125.64, 145.78, 142.76, 125.17, 126.34, 153.05, 130.41, 141.26 ,137.18, 147.74, 147.19

$11.10

A baseball player has a batting average of 0.325 each week of the season, with a standard deviation of 0.065. What is the z score when he bats 0.410 one week?

1.308

A baseball player has a batting average of each week of the season, with a standard deviation of . What is the z score when he bats one week?

1.308

What is the midrange of the following data set? 5,11,10,12,4,12,18,18,18

11

For the data set below, list the outliers, if any. 45, 50, 47, 70, 47, 12, 41, 43, 64, 53, 31, 63, 37, 45, 66, 63, 53, 60, 93, 59

12 and 93

Given that the mean of a set of data is 25 and the standard deviation is 3, what is the coefficient of variation?

12%

Approximate the population standard deviation given the following frequency distribution. Class: 0-19, 10-19, 20-29, 30-39, 40-49 Frequency 11, 13, 19, 12, 14

13.4

Determine the range for the following data set. 4, 7, 3, 16, 5 ,22, 8

19

For the data set below, find the upper outlier boundary. 154,160,146, 146, 131, 148,164,199,169,139,165

193.5

If a set of data has 49 values with a variance of 4.4, then the standard deviation is .

2.1

Find the median for the following data set: 27, 21, 15, 25, 15

21

Approximate the sample standard deviation given the following frequency distribution. Class: 0-14, 15-29, 30-44, 45-59, 60-74 Frequency: 11, 8, 10, 9, 14

22.6

A consumer advocacy group tested the "on-air" lifetimes a random sample of 241 cell phone batteries. The mean lifetime was 3.2 hours with a standard deviation of 0.1 hours. The lifetimes are approximately bell-shaped. Estimate the number of batteries with lifetimes between 3.0 hours and 3.4hours.

229

The number of police officers in selected city districts is listed below. Find the mode. 24,26,24,30,23,28,19,31,24,26,19

24

Find the median for the following data. 6,7,4,5,3,7,4

5

Find the mode for the following data?5, 4, 3, 4, 5, 6, 5, 5, 3, 4

5

The following population parameters were obtained from a graphing calculator. x bar: 63 Ex=945 Ex^2= 59535 Sx=11.3860817 ox=11 n=15 Assuming the population is bell-shaped, between what two values will approximately 68% of the population be?

52 to 74

For the data set below, find the first quartile. 78,65,63,67,67,64,72,78,75,65,74

65

A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallonwith a standard deviation of 0.05 gallons. The paint volumes are approximately bell-shaped. Estimate the percent of pails with volumes between 0.95gallons and 1.05 gallons.

68%

A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each bottle, and the three quartiles for the fill volume are Q1=354, Q2= and Find the IQR.

8

What is the median of the following set of values?10, 8, 5, 3, 14

8

For the data set below, find the IQR. 65, 74, 74, 68, 66, 73, 63, 72, 62, 75,75

9

The average age of Stokes County school board members over the last 40 years has been 46, but members have ranged from 29 to 67. Use the range rule of thumb to estimate the standard deviation of the members' ages.

9.5

What is the mean of the following data set?4, 8, 11, 12, 13

9.6

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours. What can you determine about these data by using Chebyshev's Inequality with

At least 75% of the completion times are between 2 hours and 4 hours.

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours. What can you determine about these data by using Chebyshev's Inequality with k=2

At least 75% of the completion times are between 2 hours and 4 hours.

The average resident of Metro City produces 570pounds of solid waste each year, and the standard deviation is approximately 70 pounds. Use Chebyshev's theorem to find the weight range that contains at least of all residents' annual garbage weights.

Between 430 and 710 pounds

The interquartile range is found by subtracting the mean from the maximum value of a data set.

False

The size of the box in a boxplot shows the _________ of the data set.

Interquartile range

Given the following boxplot where m is the median value, what statement could be made about the distribution of the data?

The distribution is approximately symmetric.

A summary of a data set consists of the minimum, Q1, the median, Q3, and the maximum.

True

For a set of data with a mean of 6 and a variance of 9, approximately of the values will fall between 3 to 9.

True

The range of a data set is the difference between the highest value and the lowest value.

True

The average resident of Metro City produces 570 pounds of solid waste each year, and the standard deviation is approximately 70 pounds. Use Chebyshev's theorem to find the weight range that contains at least 75% of all residents' annual garbage weights.

between 430 and 710 pounds

The size of the box in a boxplot shows the ______________of the data set.

interquartile range

A weighted mean is used when the values of the data set are not all equally represented.

true


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