
Concept explainers
The following stem-and-leaf plot represents the test scores for 2626 students in a class on their most recent test. Use the data provided to find the quartiles.
Find the second quartile.
Stem |Leaves
6 |0 1 2 2 4 7 8
7 |0 1 2 5 8
8 |3 6 6 7 9 9
9 |0 1 2 2 2 4 5 8

Stemplot:
Stemplot is a graphical representation for a given numerical data and it is used to find the shape of a distribution.
Steps for obtaining original data from Stemplot:
- In stem plot each of the observation is separated into two parts, the leading digit is the stem and the remaining digit is the leaf.
- All the stem values are shown vertically in one column towards left side of vertical line.
- The leaf values are placed for each of the corresponding stem to the right of the vertical line. The leaf values also starts with a smaller value.
- To obtain the original data set combine value of stem with corresponding values in the leaf.
In the given Stemplot the stem values are 6, 7, 8, and 9. The leaf values corresponding to 6 is 0, 1, 2, 2, 4, 7, 8, the leaf values corresponding to 7 is 0, 1, 2, 5, 8, the leaf values corresponding to 8 is 3, 6, 6, 7, 9, 9, and the leaf values corresponding to 9 is 0, 1, 2, 2, 2, 4, 5, 8.
The original data set from the Stemplot is 60, 61, 62, 62, 64, 67, 68, 70, 71, 72, 75, 78, 83, 86, 86, 87, 89, 89, 90, 91, 92, 92, 92, 94, 95, and 98.
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps

- Which of the three brands had the smallest mean lifetime? Try doing this without a calculator- just compare the three plots.arrow_forwardHere are 11 numbers in sorted order. -49, -45, -42, -37, -35, -35, -28, -25, -25, -21, -19 What is the 75th percentile of this data?arrow_forwardThe line drawn within the box of the box-and-whisker plot represents the mean. TRUE FALSEarrow_forward
- You want to construct a stem-and-leaf plot for the following data set. What would be the "leaves" for the "stem" of 7? You should express your answer as a single multiple-digit number. For example, 5899, but not 5 8 9 9 (i.e., with spaces between the numbers). Remember to put the entries in order.arrow_forwardHere are the scores of 13 students on a geography test. 59, 60, 61, 61, 67, 71, 73, 74, 85, 85, 86, 88, 89 Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary Minimum: Lower quartile: Median: Upper quartile: Maximum: Interquartile range: 0arrow_forward= The data show the distance (in miles) from an airport of a sample of 22 inbound and outbound airplanes. Use technology to answer parts (a) and (b). a. Find the data set's first, second, and third quartiles. b. Draw a box-and-whisker plot that represents the data set. D 3.2 2.6 3.3 5.9 5.4 3.5 2.6 2.2 5.7 2.9 2.8 2.7 4.3 2.1 1.9 4.6 2.6 5.4 3.6 2.4 5.5 2.2 a. Find the three quartiles. Q₁ Q₂ d (Type integers or decimals. Do not round.) b. Choose the correct box-and-whisker plot below.arrow_forward
- Derrick is preparing to submit his taxes. Over the year, he kept track of certain deductions he is able to claim (all rounded to the nearest dollar). These values are given below. 65,144,97,144,103,98,101,127,58,151 He wants to create a histogram of the data using 4 classes. What values of Xscl, Xmin, and Xmax should he use?arrow_forwardBelow is a box plot showing the ages of actors and actresses. Ages of Oscar Winning Actors from 1975 to 2004 Female E Male 20 40 60 80 100 Age Which has a higher median? data is needed to tell both have the same median actors O actressesarrow_forwardThe following stem-and-leaf plot represents scores on a university psychology test. If one more person was to take the test, which value would most likely represent the person's expected score? Stem Leaf 5 07 169 7 001258 8 359 24 O 57 O 66 O 70 O 85arrow_forward
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON

