Chapter 3. Calculating an Average and a Median
Pre-Test Question:
Math and Graphing Review
true
true
You must read each slide, and complete any questions on the slide, in sequence.
Question
IAe+CW09iwNY9SN+Hc+5vvYMrH1ipvh6LA0V+kgY2G8o1eR3Z31C+pf557GzVuS+J34w/OSq6JjGfVbcsorjuAWOoSqGxEr4MtqPB/izFKxCPom8QMg76F8IZ1cAF/DEWFn1Dc6ShLRdeZ85hcRKUrNG1ssRWCrvAN92x/gMj0g9Fc35DgkVKf7GUGIanXMI5tjFfjvJdM0rBE3VC3qkh04mKbJ5X6HRCEhJkPa8g8Mn7UB8uucJppkvnF5fA8gk2tQ1j3j+1Hd/H6tHL8tRTh6p78+mffUPCorrect! The average is 9.2 and the median is 9.
To calculate the average we add all the numbers together: 4 + 10 + 8 + 9 + 15 = 46 and then divide by the number of items we have (five): 46/5 = 9.2. To calculate the median, we arrange the numbers from lowest to highest and find the middle-most value, in this case, 9.
Video
Post-Test Questions:
Question 3.1
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! The average cost of their dinners is $31.
To calculate the average we add up the cost of each meal: 27 + 38 + 28 = 93. We then divide this total cost by three (the number of people) and get 93/3 = $31.
Question 3.2
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Correct! The average is 9 and the median is 6.
Sorry, the average is 9 and the median is 6. To calculate the average we add all the numbers together: 3 + 6 + 18 = 27. Then we divide by the number of items we have (three): 27/3 = 9. To calculate the median we arrange the numbers from lowest to highest and find the middle-most value, in this case 6.
Question 3.3
sU619hLm5Tcj/PpJkWhP1+qtxVXIedVHGbtuBsR5qTLjt/Rw5JFc0gNkEwPFL/aHFqNBcHqUdWrK2Hkti//dIbwZnJNd7yzz1LJEwuZLBe79CgjPsGjNG4bptVYd7MFU4MqVXZ/DiVaVRqD3URxCivYvx7M0+9ZcSGWWrm5HbsBWnyqV+7pyy6grAXz5Lm+/o6FTZSefaddC0H789IH97KLRvThE90bHqW047NHcdrvMCdUUgqJFN5boQgFBF6u1Ft8IGs0g1a4ClA6uNTfHF4oe5CvpHd9fEm6wNq4bf9KiHlP7UKtFhEJNJDk7E/OHA8JAi+oovLSj5Vm8ISayJxW4x/MNSj7da51BkNbCOB4=Correct! The median price is $7.00.
Sorry, the median price is $7.00. With an even number of elements, we calculate the median by taking the average of the two middle-most values: (6.00 + 8.00)/2 = $7.00.
Question 3.4
x4wIUyXW/HFM6Oq9p+k0B58OgyOQxVCBlk0zgHSLTbar2Pyo9y7lyk71pJxa3z/teLm+909fsBmTFcXph0me9KS2twm1mKNy8yXjUdx5rJNZLT/o59ZzCcD4tZ9iU6mW99whwlgV0AX2Wwui+lUodUwA0AItEWqFh86JOPT9ny/V4lZ+b5EyygldSDbzIbNhjUNNMpLjBCeosG9RV7iweh3KaVk6D9BggxT/IR3x88Apm+bm7Un15CaCq6iSMMe5g384tQ==Correct! The average is 9 and the median is 8.
Sorry, the average is 9 and the median is 8. To calculate the average we add all the numbers together: 18 + 1 + 5 + 6 + 12 + 13 + 8 = 63 and then divide by the number of items we have (seven): 63/7 = 9. To calculate the median we arrange the numbers from lowest to highest and find the middle-most value, in this case 8.
Question 3.5
JaNqYckHN2ARaPCvVSyBnY62w6DfvSy/Ef3XNHZj9Uhze1w2gShg4HyRlHqMIYFNGUxD5LY1HaRbTyPR+ftWfSHdzr+dPfqJEsCoIt5TKT4L6Hoe5Y8ExGHDFuSk/O7+G0U6M4nVvC7C8st18NFF763H9P8GGYQQSN+0/VHq4o9dySmNYvQCroWpKbXzeacGu+xJKsvO7Nl75J+BECg62XzaGeW0h0uUucSEwps3GT2yA8R/NQ3/2cudjaxfbTvWXFptkOaQzqQ7ugHh9kXtUCCi3UkKdyHxV3xSamg+6JGQcK6S1cwL6CVKBzoZBVWOoDtSso2Tr5MUyDDnNf8+wg==Correct! The average price paid is $82.50.
To calculate the average price paid, we first calculate the total paid: 5 × 100 + 3 × 75 + 2 × 50 = $825. We then divide the total amount paid by the number of people (10): $825/10 = $82.50.