Topics
6. Probability and statistics
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United States of AmericaTX
Grade 7

6.05 Comparative inferences

Lesson
Practice

Interactive practice questions

The weights of a group of men and women were recorded and presented in a stem and leaf plot as shown.

Men Women

A stem-and-leaf plot displaying the data of weights of men. A stem-and-leaf plot is a way of organizing and displaying numerical data. In this plot, each data point is split into a stem (the leading digit or digits) and a leaf (the trailing digit). The stems are listed vertically, and the leaves corresponding to each stem are listed horizontally next to it. The weights of men presented in the stem and leaf plot are $68,71,73,72,75,72,73,73,73,73,82,79,82,81,77,77,75,77,81,77$68,71,73,72,75,72,73,73,73,73,82,79,82,81,77,77,75,77,81,77

A stem-and-leaf plot displaying the data of weights of women. A stem-and-leaf plot is a way of organizing and displaying numerical data. In this plot, each data point is split into a stem (the leading digit or digits) and a leaf (the trailing digit). The stems are listed vertically, and the leaves corresponding to each stem are listed horizontally next to it. The weights of women presented in the stem and leaf plot are $58,51,67,66,67,53,60,67,66,64,55,60,52,60,63,68,59,50,51,52$58,51,67,66,67,53,60,67,66,64,55,60,52,60,63,68,59,50,51,52
Click to view stem and leaf plots.
Key: 4 | 2 = 42 kg
a

What is the mean weight of the group of men? Express your answer in decimal form.

b

What is the mean weight of the group of women? Express your answer in decimal form.

c

Which group is heavier?

Men

A

Women

B
Easy
3min

Isabelle thinks there may be a difference in the way males and females compute certain puzzles. She gave an equal number of boys and girls a knot to undo and recorded how long (in seconds) it took each of them. The results are presented in the table:

Easy
1min

The following box-and-whisker plot shows the number of points scored by two basketball teams in each of their matches last season.

Easy
2min

The following column graphs show the season results of two soccer groups, Group A and Group B, and the number of games (frequency) in which they scored a certain number of goals (scores).

Easy
2min
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Outcomes

7.12.A

Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads

7.12.B

Use data from a random sample to make inferences about a population

7.12.C

Compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations

7.6.A

Represent sample spaces for simple and compound events using lists and tree diagrams

7.6.B

Select and use different simulations to represent simple and compound events with and without technology

7.6.C

Make predictions and determine solutions using experimental data for simple and compound events

7.6.D

Make predictions and determine solutions using theoretical probability for simple and compound events

7.6.F

Use data from a random sample to make inferences about a population

7.6.G

Solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents

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