Question

Four students have applied for a scholarship and only one can be selected. The students have taken a battery of seven tests and all have exactly the same average score. The standard deviation of their scores are: Student A = 3.12, Student B = 0.27, Student C = 13.45, Student D = 6.45

If consistency of performance is a criteria for acceptance, which of the four students should be selected? And why? Justify your reasoning.

Step 1

Given Data

Standard Deviation of student A = 3.12

Standard Deviation of student B = 0.27

Standard Deviation of student C = 13.45

Standard Deviation of student D = 6.45

Step 2

**Standard deviation tells the variation in the data**

If the standard deviation is **low**, then there is very **less variation in the data**. And the** data are consistent**. If standard Deviation is **large**, then there is** large variation** in the data. And the **d...**

Tagged in

Q: In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency provides data...

A: The Normal distribution:A continuous random variable X is said to follow normal distribution with me...

Q: Find the width, make a frequency table, draw a histogram, draw a relative frequency histogram, categ...

A: Begin by populating data into excel sheet and then sorting from smallest to largest.

Q: Describe the three measures of central tendency; the mean, median, and mode. Discuss the advantages ...

A: Measures of central tendency:These measures are used to identify the central position for the given ...

Q: Baby weights: According to a recent National Health Statistics Reports, the weight of male babies le...

A: Consider x be a random variable indicates the weight of the babies which follows normal distribution...

Q: Use the following results from a test for marijuana use, which is provided by a certain drug testin...

A: Note:Hi there! Thank you for posting the question. In your question, the data seem to be repeated. H...

Q: Hugo averages 76 words per minute on a typing test with a standard deviation of 12.5 words per minut...

A: The z-score:The z-score for a value x, when X has a normal distribution with mean μ and standard dev...

Q: below attached

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: Let E, F and G be three events in S with P(E) = 0.37, P(F) = 0.56, P(G) = 0.54, P(E ∩ F) = 0.18, P(E...

A: De-Morgan law:Let E, F and G be three events then,

Q: what is the formula for finding the inter quartile range

A: Quartiles:Three Quartiles,The first quartile separates the lowest 25% of the observations from the h...

Sorry about that. What wasn’t helpful?