SOLUTION: In one month, a student recorded the lengths, to the nearest minute, of each of the lectures she attended. The table below shows her data and the calculations she made before dr

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Question 1168786: In one month, a student recorded the lengths, to the nearest minute,
of each of the lectures she attended. The table below shows her data
and the calculations she made before drawing a histogram to illustrate
these data.
Calculate
Length of lecture (minutes) 50 ≤ x < 53 53 ≤ x < 55 55 ≤ x < 59 59 ≤ x < 67
Number of lectures a b 30 c
Frequency density 5 13 7.5 1.5
(i) The value of a, of b and of c.
(ii) The number of lectures attended in a month.
(iii) Using the assumed mean of A = 57.4, calculate the mean length
of lectures.
(iv) Calculate the Median and the Variance of the distribution.

Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
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