### Home > INT3 > Chapter 4 > Lesson 4.3.3 > Problem4-88

4-88.

North City High School has served the following number of lunches since the beginning of the school year. The data has been sorted.

 Number of lunches sold per day $576$ $584$ $594$ $595$ $603$ $605$ $606$ $613$ $618$ $630$ $632$ $636$ $640$ $640$ $652$ $660$ $661$ $663$ $665$ $666$ $671$ $671$ $675$ $677$ $678$ $689$ $695$ $698$ $703$ $721$ $723$ $738$ $745$ $755$ $774$ $774$ $785$ checksum $24711$
1. What are the mean number of lunches and the standard deviation in the sample?

2. What is the five-number summary of the distribution?

3. Make a relative frequency histogram of the number of lunches served. Use a scale from $560$ to $800$ lunches with a bin width of $40$ lunches. Sketch the histogram and label the height of each of the bins.

4. Describe the distribution. Make sure you consider the center, shape, spread, and outliers.

The typical number of lunches served is_____.
The shape is _____ and _____.
The standard deviation is about _____ lunches.
There are/are not apparent outliers.

5. Using the histogram, determine the percentage of days on which fewer than $600$ lunches were sold.

6. Using the histogram, estimate the percentage of days on which between $600$ and $700$ lunches were sold.

Use the eTool below for parts (a) - (c).
Click the link at right for the full version of the eTool: Int3 4-88 HW eTool