Rolinda’s first five Spanish test scores are 85, 85, 60, 62, and 59. a. Find the mean, the median, and the mode of Rolinda’s Spanish test scores. Round your answers to the nearest tenth, if necessary.b. Which of these measures best supports Rolinda’s claim that she is doing well in her Spanish class?c. Why is Rolinda’s claim misleading?

Respuesta :

Mean=70.2
Median=62
Mode=85
 
The one that best supports her doing well in the class is Mode, but it may be misleading because that is her highest grade so it doesn't show her other three bad grades.

Ai. The mean of the test scores is 70.2

Aii. The median of the test scores is 62

Aiii. The mode of the test scores is 85

B. The mode best support that Rolinda is doing well

C. Rolinda’s claim misleading because her other three scores are lower than 85

Ai. How to determine the mean

The Mean is defined as the arithmetic average. Mathematically, it can be expressed as:

Mean = (Summation of scores) / number of scores

Thus, we can obtain the mean as follow

  • Data = 85, 85, 60, 62, 59
  • Summation = 85 + 85 + 60 + 62 + 59 = 351
  • Number of scores = 5
  • Mean =?

Mean = (Summation of scores) / number of scores

Mean = 351 / 5

Mean = 70.2

Aii. How to determine the median

The median is defined as the middle score when arranged in ascending or descending order

  • Data in descending order = 85, 85, 62, 60, 59
  • Median = 62

Aiii. How to determine the mode

The mode is defined as the score with the highest frequency (i.e appearance)

  • Data = 85, 85, 60, 62, 59
  • Mode = 85

B. How to determine if Rolinda claims is correct

  • Mean = 70.2
  • Median = 62
  • Mode = 85

From the data above, Rolinda can claim she is doing well by considering the mode of the scores.

C. How to determine that her claim is misleading

Roland's claim is missing since out of the five different scores (85, 85, 62, 60, 59), only have two scores are high (i.e 85) but the rest three scores are low (i.e 62, 60, 59)

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