The standard deviation is 15.76. The typical reading rate for the data set varies from the mean by an average of 15.76 words per minute.
<h3>How to determine the standard deviation of the data set?</h3>
The dataset is given as:
Reading Rate
(words per minute) Frequency
60 6
65 8
70 12
75 5
80 1
85 1
90 2
95 5
100 20
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (60 * 6 + 65 * 8 + 70 * 12 + 75 * 5 + 80 * 1 + 85 * 1 + 90 * 2 + 95 * 5 + 100 * 20)/(6 + 8 + 12 + 5 + 1 + 1 + 2 + 5 + 20)
Evaluate
Mean = 81.92
The standard deviation is
So, we have:
SD = √[6 * (60 - 81.92)^2 + 8 * (65 - 81.92)^2 + 12 * (70 - 81.92)^2 + 5 * (75 - 81.92)^2 + 1 * (80 - 81.92)^2 + 1 * (85 - 81.92)^2 + 2 * (90 - 81.92)^2 + 5 * (95 - 81.92)^2 + 20 * (100 - 81.92)^2)]/[(6 + 8 + 12 + 5 + 1 + 1 + 2 + 5 + 20 - 1)]
This gives
SD = √248.382779661
Evaluate
SD = 15.76
Hence. the standard deviation is 15.76. The typical reading rate for the data set varies from the mean by an average of 15.76 words per minute.
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Answer:
5th one: 55 marbles
Thats like supper easy but the 4th one no idea
Answer:
25
Step-by-step explanation:
4x+8+72=180
4x+80=180
180-80=100
100/4=25
x=25
Answer:
A. 637
B. 0.2240 (4 dp) = 22.4% (nearest tenth)
Step-by-step explanation:
<u>Normal Distribution</u>
Given:
<h3><u>Part A</u></h3>
Total number of bodybuilders = 1500
Therefore, the number of bodybuilders between 180 and 190 pounds is:
<h3><u>Part B</u></h3>