Q. The data below represents the number of customers at each Spaghetti Shop.24,25,29,30,31,31,32,34,34Which box plot correctly summarizes the data?
Calculate the Median: Calculate the median of the data set.The median is the middle number when the numbers are listed in order.Since there are 9 numbers, the median is the 5th number.The 5th number in the ordered list is 31.
Find First Quartile: Find the first quartile (Q1).The first quartile is the median of the first half of the data.The first half of the data is 24, 25, 29, 30.The median of this half is the average of 25 and 29.Q1=(25+29)/2=27.
Determine Third Quartile: Determine the third quartile (Q3).The third quartile is the median of the second half of the data.The second half of the data is 31, 32, 34, 34.The median of this half is the average of 32 and 34.Q3=(32+34)/2=33.
Identify Min and Max Values: Identify the minimum and maximum values. The minimum value is 24 and the maximum value is 34.
Construct Box Plot: Construct the box plot using the calculated values.The box plot should have a box from Q1(27) to Q3(33) with a line at the median (31).Whiskers should extend from the minimum (24) to the maximum (34).