the stem - and - leaf plot below shows the number of pages each student in the class read the previous…

the stem - and - leaf plot below shows the number of pages each student in the class read the previous evening.\n0|0058\n1|235889\n2|246777\n3|356\n4|246\n5|7\naccording to the plot, 75% of students read less than\no 13 pages.\no 33 pages.\no 35 pages.\no 46 pages.

the stem - and - leaf plot below shows the number of pages each student in the class read the previous evening.\n0|0058\n1|235889\n2|246777\n3|356\n4|246\n5|7\naccording to the plot, 75% of students read less than\no 13 pages.\no 33 pages.\no 35 pages.\no 46 pages.

Answer

Answer:

35 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 position of 75th percentile

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

Step3: Arrange data in ascending order

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.

Step4: Find 75th percentile value

Since $L = 17.25$, the 75th percentile is the 18th value in the ordered data set, which is 35.