Exercise 14 Page 750

We want to identify the minimum, first quartile, median, third quartile, and maximum of the given data set. Then we will make a box-and-whisker plot using these values. Let's do these things one at a time.

Values

Quartiles are values that divide a data set into four equal parts. When quartiles are combined with the minimum and maximum values, it is often called the five-number summary of the data set.

• The median, which can also be known as the second quartile (Q_2), separates the data into upper and lower halves.
• The first quartile (Q_1) is the median of the lower half of the data.
• The third quartile (Q_3) is the median of the upper half of the data.

Let's identify the five-number summary of the given data set. Do not forget to arrange the data from least to greatest first! Given Data Set 531 469 573 206 374 421 505 489 702 Arranged Data Set 206 374 421 469_(lower half) 489 505 531 573 702_(upper half) The minimum and maximum values are 206 and 702, respectively. Since the number of values in each half is even, the first quartile is the average of the two middle values in the lower half. Q_1: 374+ 4212= 397.5 Analogously, the third quartile is the average of the two middle values in the upper half. Q_3: 531+5732=552 The first quartile is 397.5 and the third quartile is 552. The median of the data is 489.

Box-and-Whisker Plot

We want to make a box-and-whisker plot using the obtained information. Minimum:& 206 First Quartile:& 397.5 Median:& 489 Third Quartile:& 552 Maximum:& 702 This type of graph summarizes a set of data by displaying it along a number line. It consists of three parts, a box and two whiskers.

• The left whisker extends from the minimum to the first quartile.
• The box extends from the first to the third quartile and has a vertical line through the median.
• The right whisker extends from the third quartile to the maximum.

Let's make our box-and-whisker plot! Weekly Museum Visitors