A median is the middle number of a data set. To find it put the numbers in order. 78, 69, 69, 96, 99 Then find the middle number 78, 69, *69,* 96, 99
The median is 69
A mode is the number that appears the most in a set of numbers. 78, *69, 69,* 96, 99
The mode is 69
To find the mean or average of a set of numbers, add all the numbers together then divide by the number of numbers there are. 99+69+96+69+78 = 411 411/5 = 82.2
The mean is 82.2
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The ratio of pop songs to rock songs you download is 5:4, and 40 are pop songs. You want to find out how many rock songs there are. First, add the ratios together: 5+4=9. This means that 9 will be your denominator, so 5/9 songs are pop and 4/9 songs are rock. Now you know that pop songs account for 5/9 of the songs, this means that 40 is 5/9 of the total songs. To find out how much 4/9 is, you need to divide 40 by 5 to get 1/9 and times that number by 4 to get 4/9: 40÷5=8×4=32 songs are rock songs
In the direction we consider the subintervals [0, 1] and [1, 2] (each with length 1), while in the direction we consider the subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of are (1, 0), (2, 0), (1, 2), (2, 2).
Let . The volume of the solid is approximately
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More generally, the lower-right-corner Riemann sum over and subintervals would be
Then taking the limits as and leaves us with an exact volume of .