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a2, a 3, a 4, a5, a6, has a mean of 5 and *standard*** deviation** of 1.5 Find (i) the sum of the marks, ∑ a , (ii) the sum of the squares of the marks,
∑a
2
[ 3 marks ]
Answer ……………………... 3. The mean of a set of four positive integers is 6. When a number y is taken out from the set, the mean becomes 5. Find the value of y. [ 3 marks ]
Answer ……………………... 4. The mean of the set of numbers 2.5, 3.6, 4.3, 5.8, x is 4.2 . Find the

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Sigma examples Six Sigma Scale Why Six Sigma
Six
Sigma Methodologies & Tools
Define
Measure
Analyze
Improve Control
WHAT’S IN A NAME?
Sigma is the Greek letter representing the *standard*** deviation** of a population of data. Sigma is a measure of

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|9 |31 |
Table 4: *Standard*** deviation**
| | |
|Atrium |4.93 |
| | |
|Third Floor |2.65 |
Atrium had a larger

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(b) and (c). (2)
e) Estimate the mode of time spend per week browsing the site by drawing a histogram (4)
f) Estimate the median of time spend per week browsing the site by drawing an ogive ‘less than’ (4)
g) Calculate the *standard*** deviation** of time spend per week browsing the site. (3)
h) Discuss the shape of the distribution of the time spend per week browsing the site by showing relevant calculations. (3)
QUESTION 3 (20 MARKS)
Samples arriving...

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selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample *standard*** deviation** of 0.051
A. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.)
B. Determine the p-value and interpret its meaning.
9.27
In New York State, savings banks are permitted to...

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wishes to use the numerical descriptive measures to summarize the data.
(a) Prepare a numerical summary report about the data on the two variables the researcher has considered by including the summary measures, mean, median, range, variance, *standard*** deviation**, smallest and largest values and the three quartiles, for each variable.
(b) Use five of the above summary measures to represent the summary information in a box plot for each variable. Draw the box plot (using Data Analysis Plus).
(c)...

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disk from each section is measured in millimeters. The data is collected from each class and is compiled to calculate the mean, *standard*** deviation**, and SEM.
The compiled data is analyzed by creating a bar graph to compare the zone of clearing for each group.
Results:
DATA | CLASS STASTICS |
Treatment Groups | Clear Zone (mm) | Mean (mm) |

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categorical
variable, with values of either 1 or 2. The "mean" of 1.42 doesn't mean much, except that
the data set contains more men (1) than women (2). The *standard*** deviation** is equally
meaningless.
AGE, on the other hand, is a ratio variable. It makes sense to speak of the mean, median,
mode (there isn't one, in these data) and the

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variables and to measure persistence of skill across time. Third, transfer of skill was used to obtain skill adaptable results. Learner was able to transfer skill of juggling beanbags to apples. Fourth, statistics were calculated to find *standard*** deviation**, which showed consistency of skill learning.
Methods
To complete the juggling experiment, the student used the same three beanbags to perform the skill. All sessions were performed in the same room with closed windows and closed door...

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(in dollars), house characteristics and location desirability.
Let Y= house price be the dependent variable and consider the following potential explanatory variables:
(a) Using the data the calculate, interpret and discuss the mean, *standard*** deviation**, minimum, maximum, skewness, kurtosis and of Y, , , , and .
(20 marks)
(b) Estimate correlation coefficients between variables in (a) and comment on your results.
(15 marks)
(c) Regress Y and all the explanatory variables and discuss...

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