7th Grade Math

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Measures of Central Tendency

PART A BC

Multi-Part

Lesson 1

GLE 0706.5.4

Use descriptive statistics to

summarize and compare

data. SPI 0706.5.3 Calculate

and interpret the mean,

median, upper-quartile,

lower-quartile, and

interquartile range of a set

of data. Also addresses

GLE 0706.1.8.

490 Statistical Displays

Changes in Data Values

FISHING Quin and four of his friends went fishing on a Saturday

morning. Each bucket shows the number of fish that each person

caught.

There are many ways to describe this data.

Place counters in five cups to represent the five buckets

of fish. Find the mode.

Rearrange the cups from least to greatest to find the

amount of counters in the middle cup.

Move the counters among the cups so that each cup

has the same number of counters to find the average.

Main Idea

Explore how changes

in data values affect

mean, median, and

mode.

the Results

1. Was there a number of fish that occurred the most times for the
   data set? Explain your reasoning.


2. Would your answer to Exercise 1 change if you included a sixth
   friend who caught 9 fish? Explain.


3. How many counters are in the middle cup after you rearrange the
   cups from least to greatest? Compare this to your answer if you
   were to include the sixth friend who caught 9 fish.


4. How many counters are in each cup after moving the counters?
   How many counters would be in each cup if a sixth friend caught
   9 fish?

490_497_C09_L1_895130.indd 490 1/11/10 9:31 AM