Question

(5) For a given set of data, the **SAMPLE
MIDRANGE** = 48. Which of the following comments about the
value of the **SAMPLE MEDIAN** for that data set is
MOST reasonable? (A) It must lie within 4.8 units of 48. (B) It
must be **LESS THAN** 48.

(C) **NO** statement could reasonably be made
regarding the possible value of the

SAMPLE MEDIAN. (D) It must be **HIGHER THAN**
48.

**PLEASE RESPOND TO EITHER QUESTION (6) OR
(7), BUT NOT BOTH :**

(6) (A) You have a set of **65** data values, whose
sample average is **40**. Please determine the TOTAL
for that data.

(B) You have a set of data values which TOTAL
**1575**, and AVERAGE **25**.

HOW MANY data values do you actually have ?

(C) WHICH type of sample would you
expect to exhibit the **MOST** bias:

(i)CONVENIENCE sample (ii) RANDOM sample (iii) STRATIFIED sample

(7) You have a data set having a MEAN value of **-
20** and a VARIANCE of **36**.

Using ONLY CHEBYSHEV’S THEOREM:

(A) AT LEAST WHAT PROPORTION of your data could be expected to lie

WITHIN the
interval from **-38** to **- 2** ?

(B)AT LEAST **75 %** of your
data MUST lie between which pair of NEGATIVE integers?

Answer #1

5)

For a given set of data, the **midrange**= 48

then the value of the **SAMPLE MEDIAN** for that
data set:

**(B) It must be LESS THAN 48.**

**6)**

**n =65**

**average = 40**

**total sum = 40*65**

**=2600**

b)

total =1575

average =25

n = total / average

= 1575 / 25

= 63

c)

WHICH type of sample would you expect to exhibit the MOST bias:

**CONVENIENCE sample (ANSWER)**

Convenience sampling is a sampling technique where subjects are selected because of their convenient accessibility and proximity to the researcher. the researcher did not consider selecting subjects that are representative of the entire population.

(3) You gathered a random sample from a population and
determined the SAMPLE standard deviation for that
data set to be 17.6. WHICH of the following comments about the
corresponding POPULATION standard deviation is
MOST reasonable?
(A) It must EXCEED 17.6 (B) It must
lie WITHIN 4 UNITS of 17.6. (C) It must be
LOWER THAN 17.6. (D) NO statement
could reasonably be made regarding the possible value of the
POPULATION standard deviation. (E) It must EQUAL
17.6.

1. An electronics manufacturer test every 15th cell phone to
verify that it is functioning properly. Identify the kind of sample
that is being used.
Question 1 options:
Voluntary response sample
Sample of convenience
Stratified sample
Systematic sample
2. The names of all 35 students in a professor's class are
written on identical slips of paper, and the slips are placed into
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Within a exponentially distributed set of data, which of the
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A data set has a mean of 60 and a standard deviation of 5. Which
of the following might possibly be true?
A) At least 15% of the data values are less than 45 or greater than
75.
B) More than 90% of the data values are between 45 and 75
C) No less than 30% of the data values are less than 50 or
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Here is a frequency distribution table (FDT) for a small data
set:
data value
frequency
46
26
47
28
48
25
49
19
50
16
Find the following measures of central tendency.
mean (¯xx¯) = (Please show your answer to one decimal
place.)
median = (Please enter an exact answer.)
mode = (Please enter an exact answer.)
This data is from a sample. Calculate the mean,
standard deviation, and variance.
x
25.4
22.9
20.5
19.9
37
37.6
40.6
21.9
23.9
Please show the...

Answer True or False for each of the following. If your answer
is FALSE, provide an example that proves your point. If your answer
is true, explain. Given a typical set of numerical data with an ODD
number of values.
1. The mean is always one of the data values.
2. The median is always one of the data values
3. The mode is always one of the data values.
4. The range measures the variability of the given data...

Consider the following set of sample data, and find the
following (note: if you are using TI 83 to find these values, you
need to write down the formulas that you should have used)
19
12
9
19
0
4
3
14
5
5
24
2
5
7
17
(a). Mean
(b). Median
(c). Mode
(d). Standard Deviation
(e). Variance
(f). Find the z-score for 14.
(i). Construct a Box-whisker plot for the data
(j). Construct a frequency distribution Table....

Please find the range, sample standard deviation and
inter-quartile range (IQR) of the following data set.
31
37
39
42
46
48
55
61
76
76
range = (Please enter an exact answer.)
standard deviation (ss) = (Please show your answer to
one decimal place.)
IQR = (Please enter an exact answer.)
A new number, 153, is added to the data set above. Please find the
new range, sample standard deviation and IQR of the new data
set.
range = (Please enter an exact...

Which of the following is true?
Data sets with the same mean and the same standard deviation
must have the same shape.
The mean is less affected by extreme observations than the
median.
Chebyshev's Rule gives us an idea what proportion of the data
set will fall within certain bounds, regardless of the shape of the
distribution.
i. only
ii. only
iii. only
i. and iii.
None of the above.

2. Expected Values:
a) What is the formula for Expect[X] for some data set X, when X is
continuous and when X is discrete?
b) Must an expected value of a data set be an element of that set?
Why or why not?
c) How is the expected value similar to or different from other
measures of center such as the median or mode?
d) What is the difference between theoretical expected values and
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i. When is...

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