I knew how to find mean, mode and median values using the formulas. But I don't understand how the mean mode median values can be related to finding other type of values.
1. The table below shows the number of free movie tickets won by a group of students who participated in a lucky draw.
(a) If the mode is 2, find the smallest possible value of y.
(b) If the mode is 5, find the largest possible value of y.
(c) If the median is 3, find
(i) the largest possible value of y.
(ii) the smallest possible value of y.
(d) Given that the mean number of free movie tickets is 2.675, find the value of y.
2. The table below shows the number of five different types of concert ticket sold.
(a) Find
(i) the modal price of the tickets,
(ii) the median price of the tickets,
(iii) mean price of the tickets.
(b) When two more tickets of the same price were sold, the mean price of the tickets became $89.51.
(i) Find the price of each extra ticket.
(ii) Find the minimum number of additional tickets that have to be sold so that the mode can be $128.
3. A survey was conducted to find out the number of children 30 married couples had. The table below shows the results of the survey.
(a) Show that p + q = 8.
(b) Given that the mean number of children is 2.5, show that 3p - 5q = 24.
(c) Hence, find the values of p and q.
(d) Find the
(i) modal number of children that the married couples had,
(ii) median number of children that the married couples had.
Thanks!
1. The table below shows the number of free movie tickets won by a group of students who participated in a lucky draw.
Number of free movie tickets | 0 | 1 | 2 | 3 | 4 | 5 |
Number of students | 3 | 7 | y | 4 | 6 | 8 |
(a) If the mode is 2, find the smallest possible value of y.
(b) If the mode is 5, find the largest possible value of y.
(c) If the median is 3, find
(i) the largest possible value of y.
(ii) the smallest possible value of y.
(d) Given that the mean number of free movie tickets is 2.675, find the value of y.
2. The table below shows the number of five different types of concert ticket sold.
Price of each ticket | $38 | $68 | $88 | $128 | $168 |
Number of ticket sold | 48 | 21 | 130 | 24 | 27 |
(a) Find
(i) the modal price of the tickets,
(ii) the median price of the tickets,
(iii) mean price of the tickets.
(b) When two more tickets of the same price were sold, the mean price of the tickets became $89.51.
(i) Find the price of each extra ticket.
(ii) Find the minimum number of additional tickets that have to be sold so that the mode can be $128.
3. A survey was conducted to find out the number of children 30 married couples had. The table below shows the results of the survey.
Number of children | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Number of married couples | 3 | p | 7 | 5 | 2 | q | 5 |
(a) Show that p + q = 8.
(b) Given that the mean number of children is 2.5, show that 3p - 5q = 24.
(c) Hence, find the values of p and q.
(d) Find the
(i) modal number of children that the married couples had,
(ii) median number of children that the married couples had.
Thanks!
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