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Example1

Title: One Variable Data

Grade Lesson s6-l1

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Dataset A consists of the heights of 58 buildings and has a mean height of 26 meters. Dataset B consists of the heights of 40 buildings and has a mean height of 59 meters. Dataset C includes the heights of all 98 buildings from datasets A and B. What is the mean height, in meters, of dataset C?

Step: 1

Data set A: 58 buildings and the mean is 26
Data set B: 40 buildings and the mean is 59
Data set C: 98 buildings (combined total of A and B)

Explanation:

Here, we discuss A, B, and C buildings.

Step: 2

Dataset A: Total height of A = mean of A \$\times\$ number of buildings
= 26 meters \$\times\$ 58
= 1508 meters
Dataset B:
Total height of B = mean of B \$\times\$ number of buildings
= 59 meters \$\times\$ 40
= 2360 meters

Explanation:

Calculate the total height for each dataset.

Step: 3

Total height of C = Total height of A + Total height of B = 1508 meters + 2360 meters = 3868 meters

Total number of buildings in C = number of buildings in A + number of buildings in B = 58 + 40 = 98

\$"Mean height of C" = ("Total height of C") / ("Total number of buildings in C")\$

\$(3868)/(98) = 39.47 "meters"\$

Explanation:

Therefore, the mean height of dataset C is 39.47 meters.