IBL Company manager asked his statistic team to give to the production department the data on the
Question:
IBL Company manager asked his statistic team to give to the production department the data on the number of phones manufactured over the 20 months.. The data collected are as follows:
Months # of phones produced
1 2045
2 1566
3 12075
4 4563
5 5052
6 3465
7 2542
8 4134
9 3567
10 5163
11 4563
12 7453
13 262
14 4772
15 4563
16 5052
17 2846
18 5052
19 4130
20 5062
REQUIRED
PART A
1. Calculate the following using the data provided on the table:
a. the mean
b. median
c. mode
2. Find the Quartile 1 , Quartile 3 and inter-quartile of the phones
produced
3. Why is the quartile important ? What purpose does it serve?
4. Why is median preferred to mean in certain circumstances?
5. How do we call data when Mode >Median >Mean and show with a
diagram how such distribution looks?
6. Explain and compare parameters and statistics.
[30 markss]
Part B
Calculate the following and answer the questions asked using the data on the
table above
1. Find the RANGE of the data provided and what measure does this
show
2. Calculate the sample variance . Why is variance not written in?
3. Calculate the sample standard deviation. What information does this
measure give to the users? Why is it necessary to compute standard
deviation instead of stopping at the variance calculation?
4. Find the COEFFICIENT OF VARIATION
5. Use Z-score to find if there is any outliers in the series
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke