Question
Test Scores
5
6
7
8
9
Frequency 4 2 3 5 6
( iii ) Write down the mode.
(i
( 1 )
( iv ) Find the median score.
( 2 )
( v ) Work out the mean.
Answers
GPT 3.5
First, let's find the mode, which is the score that appears the most number of times. In this case, the mode is 9 because it appears 6 times, which is the highest frequency.
Next, let's find the median score. Since there are 20 scores in total (4+2+3+5+6 = 20), the median will be the average of the 10th and 11th scores when they are arranged in ascending order. The 10th score is 8 and the 11th score is also 8, so the median is 8.
Finally, let's work out the mean. To find the mean, we multiply each score by its frequency and sum all the results before dividing by the total number of scores. In this case:
(5*4 + 6*2 + 7*3 + 8*5 + 9*6) / (4+2+3+5+6)
= (20 + 12 + 21 + 40 + 54) / 20
= 147 / 20
= 7.35
Therefore, the mean score is 7.35.
Next, let's find the median score. Since there are 20 scores in total (4+2+3+5+6 = 20), the median will be the average of the 10th and 11th scores when they are arranged in ascending order. The 10th score is 8 and the 11th score is also 8, so the median is 8.
Finally, let's work out the mean. To find the mean, we multiply each score by its frequency and sum all the results before dividing by the total number of scores. In this case:
(5*4 + 6*2 + 7*3 + 8*5 + 9*6) / (4+2+3+5+6)
= (20 + 12 + 21 + 40 + 54) / 20
= 147 / 20
= 7.35
Therefore, the mean score is 7.35.