histograms practice\n5. the histogram below shows the ages of people attending the showing of a new…

Explanation:

Step1: Find total number of attendees

Sum up the frequencies in the age - based histogram. $5 + 60+55 + 20+10+15+5+2+1=173$

Step2: Estimate the median age

There are $n = 173$ data points. The median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{173+1}{2}=87$-th value. Counting the frequencies from the left, the first bar ($0 - 5$) has $5$ people, the second bar ($5 - 10$) has $60$ people, and the third bar ($10 - 15$) has $55$ people. The cumulative frequency up to the ($5 - 10$) age - group is $5+60 = 65$, and up to the ($10 - 15$) age - group is $5+60 + 55=120$. So the median lies in the ($10 - 15$) age - group. A reasonable estimate could be $12$.

Step3: Guess the movie type

The age distribution is skewed towards younger ages. A possible type of movie could be a children's or a teen - targeted movie.

Step4: Describe the shape of the MPG histogram

The shape of the miles - per - gallon histogram is approximately symmetric. The bars on either side of the center are roughly mirror - images of each other.

Step5: Estimate mean and median of MPG histogram

Since it is symmetric, the mean and median are approximately equal. The center of the distribution seems to be around $17.5$ (mid - point of the tallest bar's interval). So both mean and median can be estimated as $17.5$.

Answer:

a) 173 b) 12 c) Children's or teen - targeted movie a) Symmetric b) Mean: 17.5, Median: 17.5