Question

Maria has the following scores on exams in her social studies class: 86, 75, 97, 58, 94, and 58.

Answer 1

The mean is 78 and the mode is 58 and the median is 75 hope i helped you

Answer 2

Answer:

a)

Mean=78

Median=80.5

Mode=58

b)

Median should be used.

Step-by-step explanation:

a)

The score of Maria in her social studies class:

86, 75, 97, 58, 94, and 58.

we will firstly arrange our data in the increasing order as:

58    58     75    86   94     97

The mean of the data is the average of the data points and is calculated as:

$Mean=\dfrac{58+58+75+86+94+97}{6}\\\\Mean=\dfrac{468}{6}\\\\Mean=78$

Hence Mean=78

Now we know that median is the central tendency of the data and always exist in the middle of the data.

So, Median here lies between 75 and 86 and is calculated as:

$Median=\dfrac{86-75}{2}\\\\Median=\dfrac{11}{2}\\\\Median=5.5$

Hence, Median is:

75+5.5=80.5

Hence, Median=80.5

Now, mode of the data is the entry corresponding to the highest frequency.

Hence,

Mode= 58 ( Since 58 exist in the data more often i.e. 2 times )

b)

As we know that Median and mean are the most often used data that represents the data well.

But as here mean and Median are different and median is the central tendency of the data.

Hence, Maria’s social studies teacher should use  median of the exam scores to  convince Maria that she needs to study more regularly for her exams