Jeopardy-Statistics

Download Report

Transcript Jeopardy-Statistics

Jeopardy
Normal
Histograms
Distribution
Z-Scores
Confidence
Intervals
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$300
$300
$300
$300
$300
$400
$400
$400
$400
$400
$500
$500
$500
$500
$500
Final Jeopardy
1 - $100

A histogram displays this type of information

Quantitative/Numerical
1 - $200

This is an appropriate bin width for a data set
referring to money

20
1 - $300

The graph if frequency distribution produced by
joining the midpoints of intervals in known as
what?

Frequency Polygon
1 - $400


Which year had the most severe earthquakes?
2008
1 - $500

Given the following frequency table, draw the
histogram. Bonus 100 pts: What is the shape?
Scores
Frequency
18
30-40
2
14
40-50
5
50-60
10
60-70
16
70-80
12
16
12
10
8
6
4
2
0
30-40

Left Skewed
40-50
50-60
60-70
70-80
2 - $100

This rule applies to the percentages of data
within various standard deviations of a normal
distribution.

68-95-99.7 Rule
2 - $200

Normal Distributions are referred to in terms of
these measurements.

Mean, μ, and standard deviation, σ
2 - $300

Describe the shapes of these density curves.

A: Skewed right, B: Bi-modal, C: Uniform
2 - $400

Bin Width
Frequency
0-10
15
10-20
32
20-30
76
30-40
90
40-50
79
50-60
29
60-70
13
No, does not follow 68-95-99.7 Rule
DAILY DOUBLE 2 - $500

The length of beetles follows a normal
distribution with an average length of 2.526mm
and standard deviation 0.482. What percentage
of beetles have a length less than 3.008mm?

84%
3 - $100

What does a z-score indicate?

The position of an individual in a data set on a
standard normal distribution relative to the
mean.
3 - $200

State the formula to find the z-score for an
individual in a data set that follows a normal
distribution
3 - $300

0.202
3 - $400

0.8471
3 - $500

The sales at McDonald’s between 12am and 5am
follow a normal distribution, with an average
sale of $6.23, and standard deviation $0.75.
What percentage of customers spend more than
$5.00?

95.73%
4 - $100

The likelihood that the result for the true
population lies within a given range is what?

Confidence Level
4 - $200

As we increase the sample size these decrease.

Margin of Error and Confidence Interval
4 - $300

A recent report indicated that Canadians spend
an average of 18.1 hours/week online. The
results were accurate within 3.38 hours, 19
times out of 20. What is the confidence interval
and confidence level?
4 - $400

A recent survey found that 82% of the sample
population drove to work each day, accurate
within 5.2% 9 out of 10 times. If the target
population is 124’000, what would the
confidence interval be?
4 - $500

Recent survey on recycling within a municipality
indicated that a target population of 52’000 had
between 40092 to 42068 individuals recycling
regularly. What was the confidence interval and
margin of error for the sample population?
5 - $100

Find the measures of central tendency for this
data set:
5, 7, 7, 8, 9, 10, 10, 10, 11, 12, 13, 16
Mean: 9.8
 Median: 10
 Mode: 10

5 - $200

This measure is strongly affected by outliers

Mean
5 - $300

If you are given the sum of the squares of the
deviations in a data set, what are the next steps
in finding the standard deviation?

Divide by sample size, n, take the square root.
5 - $400
Calculate the standard deviation of this data set
20, 26, 25, 24, 31, 38, 36, 34, 33, 27, 32, 35, 25,
38, 19, 37, 24, 40

5 - $500


Find the standard deviation from the following
frequency table
Score
Frequency
Score
Frequency
101-105
1
131-135
11
106-110
3
136-140
8
111-115
4
141-145
4
116-120
7
146-150
5
121-125
9
151-155
3
126-130
14
156-160
1
σ = 12.02
Final Jeopardy


Given the two normally distributed data sets
below for the prices of homes in each city, which
house has a greater relative value: one sold in
Edmonton for $392 000 or one sold in Calgary
for $417 000?
City
Mean, μ
Standard Dev. σ
Edmonton
375 000
75 000
Calgary
415 000
80 000
Edmonton, because the z-score is higher than
that for Calgary