(0,-E) E Li 110 115 1 0.077 115 120 4 4.336 120 125 49 6.673 125 130 35 0.784 130 135 15 0.722 135 140 4 ? 140 145 1 ? aswer the following questions. Each part carries 10 marks. 1. Calculate the mean, the standard deviation and the median for the frequency distribution. Compare the mean and the median and explain what this shows about the distribution.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question 1
Page 3 of 8
Question 2
A manufacturer of Wi-Fi routers is investigating the mnaximum distance
(measured in meters) at which a signal can be detected at a certain
level for their product. Let D be the random variable of this maximum
distance. A frequency distribution of values of D was produced for a
random sample of 166 routers; it is shown in the table below. Setting
O, as the observed values and E, as the expected values for group i, the
last column shows calculated values of
(0, - E,)?
E,
(0,-E
E
Li
110
115
1
0.077
115
120
4
4.336
120
125
49
6.673
125
130
35
0.784
130
135
15
0.722
135
140
4
?
140
145
1
?
Answer the following questions. Each part carries 10 marks.
1. Calculate the mean, the standard deviation and the median for the
frequency distribution. Compare the mean and the median and
explain what this shows about the distribution.
2. Assume that the random variable D follows the Normal distribution.
For the sixth and seventh groups, calculate the values of the terms
(0, – E,)²
E
If you have not calculated the values of the sample mean and stan-
dard deviation, use Ď = 26m and s = 5m.
Page 4 of 8
3. Carry out an appropriate statistical test to determine if the variable
D follows a Normal distribution.
Transcribed Image Text:Page 3 of 8 Question 2 A manufacturer of Wi-Fi routers is investigating the mnaximum distance (measured in meters) at which a signal can be detected at a certain level for their product. Let D be the random variable of this maximum distance. A frequency distribution of values of D was produced for a random sample of 166 routers; it is shown in the table below. Setting O, as the observed values and E, as the expected values for group i, the last column shows calculated values of (0, - E,)? E, (0,-E E Li 110 115 1 0.077 115 120 4 4.336 120 125 49 6.673 125 130 35 0.784 130 135 15 0.722 135 140 4 ? 140 145 1 ? Answer the following questions. Each part carries 10 marks. 1. Calculate the mean, the standard deviation and the median for the frequency distribution. Compare the mean and the median and explain what this shows about the distribution. 2. Assume that the random variable D follows the Normal distribution. For the sixth and seventh groups, calculate the values of the terms (0, – E,)² E If you have not calculated the values of the sample mean and stan- dard deviation, use Ď = 26m and s = 5m. Page 4 of 8 3. Carry out an appropriate statistical test to determine if the variable D follows a Normal distribution.
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