A Coach Compared The Heights Of The Players On Two Different Teams. The Data Set Is Shown In The Table Below

**Heights Of The Players On Two Teams**

Team A Player Heights (Inches) | 76 | 68 | 73 | 65 | 60 | 63 | 69 | 76 |

Team B Player Heights (Inches) | 63 | 73 | 64 | 70 | 70 | 67 | 75 | 62 |

**Based on these data, which statement is true?**

1. The mean height of the players on Team B is greater than the mean height of players on Team A. |

2. The mean height of the players on Team A is greater than the mean height of players on Team B. |

3. The median height of the players on Team B is greater than the median height of players on Team A. |

4. The median height of the players on Team A is greater than the median height of players on Team B. |

## Explanation

Let’s break this down step by step.

**1. Calculate the Mean Height for Each Team**

**Concept Used:** The mean (or average) is calculated by summing up all the values in a set and then dividing by the number of values in that set.

**Team A Mean Height Calculation:**

Given heights: 76, 68, 73, 65, 60, 63, 69, 76

Step 1: Sum up all the heights Sum = 76 + 68 + 73 + 65 + 60 + 63 + 69 + 76

Step 2: Divide by the number of players (8 in this case) Mean Height of Team A=Sum8Mean Height of Team A=8Sum

**Team B Mean Height Calculation:**

Given heights: 63, 73, 64, 70, 70, 67, 75, 62

Step 1: Sum up all the heights Sum=63+73+64+70+70+67+75+62Sum=63+73+64+70+70+67+75+62

Step 2: Divide by the number of players (8 in this case) Mean Height of Team B=Sum8Mean Height of Team B=8Sum

Let’s calculate these values.

**Team A Median Height Calculation Results:**

Given heights in ascending order: 60, 63, 65, 68, 69, 73, 76, 76

Median Height of Team A = 68+692=68.5268+69=68.5 inches

**Team B Median Height Calculation Results:**

Given heights in ascending order: 62, 63, 64, 67, 70, 70, 73, 75

Median Height of Team B = 67 + 702=68.5267+70=68.5 inches

From the above calculations, we can see that the median height of both Team A and Team B is 68.5 inches. Therefore, the median heights of both teams are equal.

**Conclusion** on A Coach Compared The Heights Of The Players On Two Different Teams

- The mean height of the players on Team A (68.75 inches) is greater than the mean height of players on Team B (68 inches). So, statement 2 is true.
- The median height of the players on both teams is the same (68.5 inches). Therefore, neither statement 3 nor statement 4 is true.

**Final Answer**

**The true statement is: ****2. The mean height of the players on Team A is greater than the mean height of players on Team B**