Interpret the interquartile range. Choose the correct answer below.
1 answer:
The value 257.3 denotes the range of the middle 50% of all observations in the distribution.
Q1 = 271.8 ; Q2 = 387.9 ; Q3 = 529.1
The Interquartile range is the difference between the the upper quartile and Lower quartile ;
- IQR = Q3 - Q1
- IQR = 529.1 - 271.8 = 257.3
The value of Q3 depict the 75th percentile of the data
The value of Q1 depicts the 25th percentile of the data
The difference between (Q3 and Q1) ; is the (75th - 25th) = middle 50th percentile of the distribution.
Since the difference between the maximum and minimum value is the range, then 257.3 is the range of the middle 50% of all observations in the distribution.
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Answer:
<em>The probability of a bulb lasting for at most 552 hours.</em>
<em>P(x>552) = 0.0515</em>
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the life time of a bulb = 510 hours
Standard deviation of the lifetime of a bulb = 25 hours
Let 'X' be the random variable in normal distribution
Let 'x' = 552
<u><em>Step(ii):-</em></u>
<em>The probability of a bulb lasting for at most 552 hours.</em>
<em>P(x>552) = P(Z>1.63)</em>
<em> = 1- P( Z< 1.63)</em>
<em> = 1 - ( 0.5 + A(1.63)</em>
<em> = 1- 0.5 - A(1.63)</em>
<em> = 0.5 -A(1.63)</em>
<em> = 0.5 -0.4485</em>
<em> = 0.0515</em>
<u><em>Conclusion:-</em></u>
<em>The probability of a bulb lasting for at most 552 hours.</em>
<em>P(x>552) = 0.0515</em>
<em> </em>
Answer:
The wheel completed a total of 212 turns.
Step-by-step explanation:
A wheel has a circular form, therefore its length is given by the following formula:
Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:
Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:
The wheel completed a total of 212 turns.