On the first 6 tests in her social studies course, Jerelyn’s scores were 92 78 86 92 95 and 91. determine the median and the mode of her scores. If Jerelyn took a seventh test and raised the mean of her scores exactly 1 point, what was her score on the seventh test?
Mode is 92 and median is 91.5
Seventh Test Score = 96
Mr Patel. Thanks, but just giving answers seldom helps students.
thanks a lot
To determine the median and mode of Jerelyn's scores, let's first organize the scores in ascending order:
78, 86, 91, 92, 92, 95
The median is the middle value of a set of numbers when arranged in ascending order. In this case, the median is the value between the third and fourth scores, which is 91 and 92. Since there are two numbers in the middle, the median is the average of these two values. Therefore, the median is (91 + 92) / 2 = 91.5.
The mode is the value(s) that appear most frequently in a set of numbers. In this case, the mode is 92 because it appears twice, which is more than any other score.
Now, to find Jerelyn's score on the seventh test, we need to consider the mean (average) of her scores. The mean is the sum of all the scores divided by the number of scores.
Total sum of the first 6 scores: 92 + 78 + 86 + 92 + 95 + 91 = 534
Since there are 6 scores, the average before the seventh test is 534 / 6 = 89.
To raise the mean by exactly 1 point, the sum of all seven scores must be 7 times the new mean. Therefore, the sum of all seven scores should be 7 * (89 + 1) = 7 * 90 = 630.
To find the seventh score, we subtract the total sum of the first 6 scores from the sum of all seven scores: 630 - 534 = 96.
Therefore, Jerelyn's score on the seventh test was 96.