On the first 7 statistics tests of the semester, Jamal scored 61, 76, 79, 80, 80, 84, and 91. The mean, median, and mode of his scores were 79, 80, and 80, respectively. On the 8th statistics test, Jamal scored 90. How do the mean, median, and mode of all 8 of his scores compare to the mean, median, and mode of his first 7 scores?
Correct answer: E. E
- A. A
- B. B
- C. C
- D. D
- E. E
Explanation
The total 8 test scores arranged in ascending order are:61, 76, 79,80, 80, 84, 90, 91The mode of these is 80 the number that appears the most, same as the mode for the previous 7 scores. Hence mode is equalMedian can term is calculated using the formula (n + 1)/2 where n is the number of terms 8(8+1) / 2 = 4.5th term is the medianTo find the 4.5th term we will find the mean of the 4th and 5th term. So, they are 80 and 80 and their mean will also be 80.Hence, the median is 80 and is equal.For mean, we will divide the sum of the terms by the number of the terms.So, the sum will be 61+76+79+80+80+84+90+91 = 641mean = 641/8 = 80.125 which is greater than the previous mean 79. So, the mean is greater.Hence,Mean = GreaterMedian= EqualMode = Equal
Last updated
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
505 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
If 2m=4x and 2w = 8x, what is m in terms of w?
The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?
If Lines AB||CD, then e = ?
Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?