show all your work. indicate clearly the methods you use, because you will be scored on the correctness of…

show all your work. indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.\nthe following frequency table summarizes the total amounts, in dollars, for 91 orders from a food truck during a certain day.\n| amount | frequency |\n| --- | --- |\n| $0 up to but not including $5 | 8 |\n| $5 up to but not including $10 | 14 |\n| $10 up to but not including $15 | 25 |\n| $15 up to but not including $20 | 27 |\n| $20 up to but not including $25 | 12 |\n| $25 up to but not including $30 | 5 |\n(a - i) use the data in the table to create a histogram showing the distribution of the amounts of the orders.\n(a - ii) describe the shape of the distribution of amounts.

show all your work. indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.\nthe following frequency table summarizes the total amounts, in dollars, for 91 orders from a food truck during a certain day.\n| amount | frequency |\n| --- | --- |\n| $0 up to but not including $5 | 8 |\n| $5 up to but not including $10 | 14 |\n| $10 up to but not including $15 | 25 |\n| $15 up to but not including $20 | 27 |\n| $20 up to but not including $25 | 12 |\n| $25 up to but not including $30 | 5 |\n(a - i) use the data in the table to create a histogram showing the distribution of the amounts of the orders.\n(a - ii) describe the shape of the distribution of amounts.

Answer

Explanation:

Step1: Create histogram

On the x - axis, label the intervals ($0 - 5$, $5 - 10$, $10 - 15$, $15 - 20$, $20 - 25$, $25 - 30$). On the y - axis, label the frequency. For each interval, draw a bar with height equal to the frequency in the table. For example, for the interval $0$ up to but not including $5$, draw a bar of height $8$.

Step2: Describe the shape

The frequencies start small ($8$ for $0 - 5$), increase to a peak of $27$ for the $15 - 20$ interval, and then decrease ($12$ for $20 - 25$ and $5$ for $25 - 30$). The distribution is right - skewed (positively skewed) because the tail on the right side (higher values) is longer.

Answer:

(a - i) Histogram created with x - axis as amount intervals and y - axis as frequency, bars of appropriate heights for each interval. (a - ii) The distribution is right - skewed (positively skewed).