1 answer

Tyler played 5 games of basketball. The mean was 10 points. The median was 12 points. What might each of

Question:

Tyler played 5 games of basketball. The mean was 10 points. The median was 12 points. What might each of his scores be?

Answers

#0,0,12,19,19# is one possibility

Explanation:

We have 5 basketball games where Tyler scored a mean of 10 points and a median of 12 points.

The median is the middle value, and so we know the points he scored have two values below 12 and two values above.

The mean is calculated by summing the values and dividing by the count. To have a mean of 10 points over 5 games, we know:

#"mean"="sum of points scored"/"number of games"=>10=50/5#

And so the number of points scored over the 5 games is 50 points.

We know 12 was scored in one game, and so the remaining points will equal:

#50-12=38#, again, with two values above 12 and two below 12.

Let's make things easy and say that in the two games where he scored less than 12 points, he scored 0 points each. That leaves us with:

#38-2(0)=38# for the remaining 2 games, and so he scored 19 in each of the other 2 games.

And so:

#0,0,12,19,19#

(In basketball, a basket is 2 points, but there are free throws that earn 1 each and 3-point shots that earn 3 points, so we can safely have odd numbers of points).

.

Similar Solved Questions

1 answer
Drums. Brody provided the following information for last year: Raw materials purchases Direct labor Depreciation on...
drums. Brody provided the following information for last year: Raw materials purchases Direct labor Depreciation on factory equipment Depreciation on factory building Depreciation on headquarters building Factory insurance Property taxes: Factory Headquarters Utilities for factory $250,000 140,000 4...
1 answer
How much money must initially be deposited in a savings account paying 5% per year, compounded...
How much money must initially be deposited in a savings account paying 5% per year, compounded annually, to provide for ten annual withdrawals that start at $6000 and decrease by $500 each year?(Ans.$30504.19)...
1 answer
Please explain clearly and give the direct answer Complete each reaction by giving the major product: Nal in EtOH solve...
Please explain clearly and give the direct answer Complete each reaction by giving the major product: Nal in EtOH solvent 11lll Melman Nal in acetone solvent EtOH in H2SO4 t-butyl alcohol (a) All Snl reactions occur with inversion of configuration. True or False (b) The rate-limiting step in a Syl ...
1 answer
Question 35 300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For...
Question 35 300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For the composite block shown in Prob. 2.33, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass ...
1 answer
Write a code in MATLAB to solve for part a. Hint: ? = (1/4) ∑ ?(neighbors)...
Write a code in MATLAB to solve for part a. Hint: ? = (1/4) ∑ ?(neighbors) + (?̇ ∆?∆?)/4k A long conducting rod of rectangular cross section (20 mm x 30 mm) and thermal conductivity k= 20 W/m.K experiences uniform heat generation at a rate 9 = 5 x 107W/m², while its surface...
1 answer
Leukemia versus Lymphoma: Fill out this comparison chart Leukemia Lymphoma (Hodgkin and non-Hodgkin) Diagnostic test WBC...
Leukemia versus Lymphoma: Fill out this comparison chart Leukemia Lymphoma (Hodgkin and non-Hodgkin) Diagnostic test WBC number and feature Risk factor(s) If presenting with lymph node non-tender enlargement, where If presenting with Fever If fatigue If liver and spleen enlarge If s/s of anemia If s...
1 answer
Question 16 2 pts In septate fungi, what structures allow cytoplasmic streaming to distribute needed nutrients,...
Question 16 2 pts In septate fungi, what structures allow cytoplasmic streaming to distribute needed nutrients, synthesized compounds, and organelles throughout the hyphae? O tight junctions that form in cross-walls between cells O multiple chitinous layers in cross-walls complex microtubular cytosk...
1 answer
Given the set of information, find a linear equation satisfying the conditions, if possible. (If not...
Given the set of information, find a linear equation satisfying the conditions, if possible. (If not possible, enter IMPOSSIBLE.) passes through (x, y) = (1, 6) and (x, y) = (7, 18) Additional Materials eBook Linear Functions Example Video 17. (-/1 Points] DETAILS OSCAT1 5.1.028. MY NOTES ASK YOUR T...
1 answer
Instruction: Answer ALL Questions Super Printz Sdn Bhd prepares the company year end accounts on 31"...
Instruction: Answer ALL Questions Super Printz Sdn Bhd prepares the company year end accounts on 31" December annually. The company has the following assets Date of Assets Useful Cost (RM) purchase life (year) 1-7-2017 Motor Vehicles 100,500 1-1-2018 Equipment 5 142,000 1-1-2018 Labelling Machin...
1 answer
Hello, There is an example in my probability textbook that asks us to calculate the probability...
Hello, There is an example in my probability textbook that asks us to calculate the probability of throwing exactly two heads in three tosses using a balanced coin. The reasoning the textbook uses is written below, but our professor wants us to criticize their reasoning, stating that it is a common ...
1 answer
(1 point) Compute x +2 dx by using the definition of the definte integral with right-hand endpoin...
i want correcrt answer (1 point) Compute x +2 dx by using the definition of the definte integral with right-hand endpoints (a) Δχ = xt = (cf(x)Ax = (d) Σ f(x)Ax = FL (closed form) x2 +2dx=lin.ITf(xt Al- (1 point) Compute x +2 dx by using the definition of the definte integral wit...
1 answer
How does the United States unemployment rate look like today compared to the past decade
how does the United States unemployment rate look like today compared to the past decade...
1 answer
Problem 4 (4 points) The given equation models NEAR RESONCE case. (a) Determine the frequency and period of the beats, (b) Determine the frequency and period of the rapid oscillations and compute...
Problem 4 (4 points) The given equation models NEAR RESONCE case. (a) Determine the frequency and period of the beats, (b) Determine the frequency and period of the rapid oscillations and compute the ratio of these two periods. (c) USE (a) and (b) to give a rough sketch of a typical solution : THE P...
1 answer
Indicate the appropriate letter that corresponds to the missing number. HUMAN KARYOTYPE ANALYSIS 3 IN 2...
indicate the appropriate letter that corresponds to the missing number. HUMAN KARYOTYPE ANALYSIS 3 IN 2 5 | ** ***** 12 11 9 6 | 00 - 12 16 15 17 18 17 19 25 21 23 223 21 x FRE wa - A B D E F G к L M P Q R S T U V w х Y...
1 answer
1. A hospital determined that the average duration of a stay at the hospital is 7.1...
1. A hospital determined that the average duration of a stay at the hospital is 7.1 days. Suppose that the population standard deviation for the duration of stays at this hospital is 1.9 days. Researchers randomly select 26 former patients to include in further research on hospital stays. a) Use the...
1 answer
4) Pyridine N-oxides (as shown below) have different chemical reactivity than pyridines. Show and justify (with...
4) Pyridine N-oxides (as shown below) have different chemical reactivity than pyridines. Show and justify (with resonance forms) any differences in reactivity towards both SwAr and SEA. 4) Provide synthetic routes (with mechanisms) to synthesise the below compounds: Ph Q ??...
1 answer
For questions 5-10, assume that A and B are 0/1 variables, y represents a non-negative continuous...
10 Logical constraints For questions 5-10, assume that A and B are 0/1 variables, y represents a non-negative continuous variable and M represents a very large number. Choose the constraint that correctly models the preceding statement. 5. If A happens then B happens. 6. IfA or B happens, then C can...