Final Statistics 2

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Statistics is the science of conducting studies to

collect, organize, summarize, analyze, and draw conclusion from data

variable

random variables

True

Which of the following correctly describes the relationship between a sample and a population

A sample is a group of subjects selected from a population to be studied

Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime

Inferential statistics

False

False

True

False

Continuous

Thirty students recorded the colors of their eyes, choosing from the colors brown, blue, green, hazel, and black. This data can be appropriately summarized in a

categorical frequency distribution

A recent statistics exam yielded the following 25 scores. Construct a frequency distribution with the class limits shown below. (68,81,75,56,62,59,83,70,66,93,81,81,46,75,87,77,89,80,97,59,75,75,47,85,98)

Class Limits Tally Frequency
41-50 II(2) 2/25
51-60 III(3) 3/25
61-70 IIII(4) 4/25
71-80 IIIIII(6) 6/25
81-90 IIIIIIII(8) 8/25
91-100 II(2) 2/25

A recent statistics exam yielded the following 10 scores. Construct a frequency polygon distribution using the class limits shown below

Class Limits/Midpoints/Tally/Frequency
61-70 65.5 II 2
71-80 75.5 IIII 4
81-90 85.5 II 2
91-100 95.5 II 2
Line graph

85-95

Which of the following could be a cumulative frequency graph

when the graph goes up in a positive way

Which of the following is a histogram

the one that is a bar graph with bars touching

Histogram

25

Pareto Chart

9.7

6

5

9

9

14

24

Mean 17.4
Median 15
Mode 15
Mid-range 21

4

7

5

13.6

16

20

11

7

False

In a unimodal, symmetrical distribution as shown in the figure below

The mean, the median, and mode are the same

True

median

the ,,,,, and ,,,, are two measures of variation used to describe the spread of the data in a data set

variance and standard deviation

19

1.1

12%

1.87

Indicate which student has the higher z score Art major X=46 x̄=50.5 s=5.2 Theater major X=70 x̄=75.1 s=7.3

The theater major has a higher score than the art major

1.308

Check the following data set for outliers (73, 82, 84,84,86,87,89,91)

73 is an outlier q1=83 q3=88 lower limit 75.5 upper limit 95.5

7,16,30,35,43

True

The sample space

0.69

True

1/3

5/36

1/6

1/2

47.7%

3/5

4

4/13

11/17

0.4872

dependent

0.027

4/7*11/20

0.778

1/21

The following distributions is not a probability distribution because (0.16, 0.15, 0.43, 0.16, 0.24)

The probability values do not add to 1

The following distribution is not a probability distribution because(0.22, 0.21, -0.26, 0.53, 0.30)

A probability is negative

1.63

2.88

5.40

0.026

0.130

0.432

A school is sending 16 children to a camp. If 25% of the children in the school are first graders and the 16 children are selected at random from among all 6 graders at the school, find the mean and variance of of the number of first graders chosen

The mean is 4.0 and the variance is 3.0

A computer store has 75 printers of which 40 are laser printers and 35 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet printers.

Mean 4.7 variance 2.5

7.1

In a survey, 75% of the voters support a particular referendum. If 20 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.

the mean is 15 and the variance is 3.75

153.8

-\$3.06

Identify the type of distribution pattern that occurs when the majority of the data values fall to the left of the mean

positively skewed

It is bimodal

from 13-21

0.0606

45.25%

0.3166

4.75%

0.8%

28.8%

94.5%

Example: