Math  /  Data & Statistics

Question2. In a replication of a study in which map reading skills were investigated, 20 men and 20 women completed the original map reading task and the researchers obtained the following data: \begin{tabular}{|l|l|} \hline Male map reading scores & \begin{tabular}{l} 17,20,13,12,13,11,8,17,12,15,1417,20,13,12,13,11,8,17,12,15,14, \\ 18,20,17,17,15,13,10,5,918,20,17,17,15,13,10,5,9. \end{tabular} \\ \hline Female map reading scores & \begin{tabular}{l} 12,8,10,11,4,2,11,18,17,12,13,1012,8,10,11,4,2,11,18,17,12,13,10, \\ 3,15,11,9,10,11,16,103,15,11,9,10,11,16,10. \end{tabular} \\ \hline \end{tabular}
The mean map reading score for both groups together was 12.23. a) What percentage of the male group scored above the mean score and what percentage of the femak group scored above the mean score? Show your calculations. [4 mark ] 12÷20×100=60% men 4÷20100=20% women \begin{array}{l} 12 \div 20 \times 100=60 \% \text { men } \\ 4 \div 20 * 100=20 \% \text { women } \end{array} b) Briefly explain one reason why it is important for research to be replicated. [2 mark

Studdy Solution

STEP 1

What is this asking? We need to figure out what percentage of men and women scored higher than the average score on a map reading test. Watch out! Don't mix up the number of people who scored above average with the percentage.
We need percentages!

STEP 2

1. Analyze Men's Scores
2. Analyze Women's Scores

STEP 3

Let's see how many men scored above the average of 12.2312.23.
Looking at the list, we have: 17,20,13,12,13,11,8,17,12,15,14,18,20,17,17,15,13,10,5,917, 20, 13, 12, 13, 11, 8, 17, 12, 15, 14, 18, 20, 17, 17, 15, 13, 10, 5, 9.
Hmm, looks like 17,20,13,13,17,15,14,18,20,17,17,15,1317, 20, 13, 13, 17, 15, 14, 18, 20, 17, 17, 15, 13 are all above 12.2312.23.
That's **13** men!

STEP 4

There are a total of **20** men.
So, the percentage of men who scored above average is: 1320100=65% \frac{\textbf{13}}{\textbf{20}} \cdot 100 = \textbf{65}\% That's **65%** of the men!

STEP 5

Now for the women.
Their scores are: 12,8,10,11,4,2,11,18,17,12,13,10,3,15,11,9,10,11,16,1012, 8, 10, 11, 4, 2, 11, 18, 17, 12, 13, 10, 3, 15, 11, 9, 10, 11, 16, 10.
Let's see, 18,17,12,13,15,1618, 17, 12, 13, 15, 16 are above 12.2312.23.
That's **6** women.

STEP 6

There are also **20** women.
The percentage of women who scored above average is: 620100=30% \frac{\textbf{6}}{\textbf{20}} \cdot 100 = \textbf{30}\% That's **30%**!

STEP 7

**65%** of the men and **30%** of the women scored above the average of 12.2312.23.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord