The following data shows Lakeisha's scores of five math quizzes. 100,

1.	The following data shows Lakeisha's scores of five math quizzes. 100, 89, 84, 72, 95 What is the relationship between Lakeisha's mean and median quiz score?
Answer» em>Given :- Lakeisha's scores of five math quizzes - 100, 89, 84, 72, 95 To FIND :- The relationship between Lakeisha's mean and median quiz score Solution :- First we have to arrange the given data in ascending or descending order. The given scores in ascending order is - 72, 84, 89, 95, 100. $\longrightarrow$ Mean = $\dfrac{\text{<klux>SUM</klux>\:\:of\:\:all\:\:observations}}{\text{Total\:\:no.\:\:of\:\:observations}}$ Here, Sum of all observations = 72 + 84 + 89 + 95 + 100 = 440 Total number of observations = 5 So, $\longrightarrow$ Mean of the given data = $\dfrac{440}{5} = 88$ Now, finding the median, $\longrightarrow$ Median = $\left(\dfrac{n+1}{2}\right)th\:\:term$ Here, n = Total number of observations = 5 So, $\longrightarrow$ Median = $\left(\dfrac{5+1}{2}\right)th\:\:term= \left(\dfrac{6}{2} \right)th\:\:term=\left(3 \right)th\:\:term=89$ $\star$ The relationship between Lakeisha's mean and median quiz score is that the median of her scores is 1 GREATER than the mean of her score.

The following data shows Lakeisha's scores of five math quizzes. 100, 89, 84, 72, 95 What is the relationship between Lakeisha's mean and median quiz score?

Answer»

em>Given :-

Lakeisha's scores of five math quizzes -

100, 89, 84, 72, 95

To FIND :-

The relationship between Lakeisha's mean and median quiz score

Solution :-

First we have to arrange the given data in ascending or descending order.

The given scores in ascending order is -

72, 84, 89, 95, 100.

$\longrightarrow$ Mean = $\dfrac{\text{<klux>SUM</klux>\:\:of\:\:all\:\:observations}}{\text{Total\:\:no.\:\:of\:\:observations}}$

Here,

Sum of all observations = 72 + 84 + 89 + 95 + 100 = 440

Total number of observations = 5

So,

$\longrightarrow$ Mean of the given data = $\dfrac{440}{5} = 88$

Now, finding the median,

$\longrightarrow$ Median = $\left(\dfrac{n+1}{2}\right)th\:\:term$

Here,

n = Total number of observations = 5

So,

$\longrightarrow$ Median = $\left(\dfrac{5+1}{2}\right)th\:\:term= \left(\dfrac{6}{2} \right)th\:\:term=\left(3 \right)th\:\:term=89$

$\star$ The relationship between Lakeisha's mean and median quiz score is that the median of her scores is 1 GREATER than the mean of her score.