Question

Some data from one experiment are given as below:

1, 1, 2, 3, 3, 4, 5, 5, 5, 7, 9

a) Find the median, mean and variance of the data. [4 marks]

b) Find the first, second, third quartiles and the Inter

Quartile Range (IQR), minimum and maximum values. [4 marks]

c) Draw the box-plot as stated in (b) above. [2 marks]

Answer #1

1. Some data from one experiment are given as below:
1, 1, 2, 3, 3, 4, 5, 5, 5, 7, 9
a) Find the median, mean and variance of the data. [4 marks]
b) Find the first, second, third quartiles and the Inter
Quartile Range (IQR), minimum and maximum values. [4 marks]
c) Draw the box-plot as stated in (b) above. [2 marks]

Use the accompanying data set to complete the following actions.
a. Find the quartiles. b. Find the interquartile range. c. Identify
any outliers. 54 61 55 61 65 56 57 62 56 63 60 63 55 57 78 a. Find
the quartiles. The first? quartile, Upper Q 1?, is ? The second?
quartile, Upper Q 2?, is? The third? quartile, Upper Q 3?, is ?
?(Type integers or? decimals.) b. Find the interquartile range. The
interquartile range? (IQR) is?

For the data :
165 168 158 157 171 161 160 167 166 172
160 162 154 157 161 154 155 158 161 155
164 166 156 161 151 183 157 155 158 159
161 155 166 155 158 152 175 167 164 156
155 158 150 162 163 167 157 154 155 163
a. Find the mean, median and mode.
b. Find the range, variance, and standard deviation.
c. Find the lower quartile, upper quartile, and inter-quartile
range. Are...

For the data :
165 168 158 157 171 161 160 167 166 172
160 162 154 157 161 154 155 158 161 155
164 166 156 161 151 183 157 155 158 159
161 155 166 155 158 152 175 167 164 156
155 158 150 162 163 167 157 154 155 163
a. Find the mean, median and mode.
b. Find the range, variance, and standard
deviation.
c. Find the lower quartile, upper quartile, and
inter-quartile range. Are...

A data set lists the number of olives on each pizza ordered in
the last few hours at a pizza shop. For this data set, the minimum
is 4, the median is 16, the third quartile is 19, the interquartile
range is 4, and the maximum is 20. Construct a box-and-whisker plot
that shows the number of olives.

Use the accompanying data set to complete the following actions.
a. Find the quartiles. b. Find the interquartile range. c. Identify
any outliers. 41 53 35 45 40 38 40 47 45 39 36 54 44 34 15 52 39 49
30 29 a. Find the quartiles. The first quartile, Upper Q 1, is
nothing. The second quartile, Upper Q 2, is nothing. The third
quartile, Upper Q 3, is nothing. (Type integers or decimals.) b.
Find the interquartile range....

Consider these data sets:
I: 1, 3, 2, 2, 5, 4, 4, 3, 3
II: 1, 2, 4, 1, 2, 5, 2, 5, 1, 5, 5, 3
(a) Find the mean and median for each set. Show your work.
(b) Find variance and standard deviation for each set. Show your
work.
(c) Would you be surprised to hear someone claim that these data
were drawn from the same population? (Hint: Draw a histogram for
each set. Compare the shapes.)

For the following Simple data ( separately ) :
18 , 30 , 14 , 21 , 25 , 24 , 34 , 15 , 25 , 26 , 18 , 24 , 18 , 33
, 20
1) Find ( Mean , Mode , Median , Range , Midrange , Standard
Deviation , Variance )
2) Sketch the distribution Shapes approximately.
3) Determine the type of shape
4) Find coefficient of variation
5) Find the value of the 20th...

1. Find P{X = x} for x = 0, 1, 2, 3, 4, 5 for a Bin(5, 3/7)
random variable.
2. Find the first and third quartiles as well as the median for
a Beta(3, 3) random variables.
3. Find P{X ≤ x} for x = 0, 1, 2, 3 for a χ 2 2 random
variable.
4. Simulate 80 Pois(5) random variable. Find the mean and
variance of these simulated values.

Consider the following sample data set:
1 2 3 4 4 5
1. What is the mode?
2. What is the median?
3. What is the mean?
4. What is the sample standard deviation? Interpret it? Show
your algebra.
5. Find the IQR and find if there is any outlier?

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