Question

the stem - and - leaf plot below shows the number of pages each student in the class read the previous evening. 0|0058 1|235889 2|246777 3|356 4|246 5|7 according to the plot, 75% of students read less than 13 pages 33 pages 35 pages 46 pages

Explanation:

Step1: Count total number of students

Count the number of data - points in the stem - and - leaf plot. There are \(4 + 6+5 + 3+3 + 1=22\) students.

Step2: Calculate the position of the 75th percentile

Use the formula \(L=(n + 1)\times p\), where \(n = 22\) and \(p = 0.75\). So \(L=(22 + 1)\times0.75=23\times0.75 = 17.25\).

Step3: Arrange data in ascending order and find the value

Arrange all the data values from the stem - and - leaf plot in ascending order: \(0,0,5,8,12,13,15,18,18,19,22,24,26,27,27,27,33,35,36,42,44,46,57\). The 17th value in the ordered list is 33. So 75% of students read less than 33 pages.

Answer:

33 pages