B) The Table below shows the average score of the150...

b) The Table below shows the average score of the150 students sampled from the University of the East Europe in the academic year 2020/2021. Score (out of 100) | Number of students 40-44 | 19 45-59 | 32 60-64 | 49 65-69 | 29 70-74 | 21 i. calculate the mean score of the students [2] ii. calculate the modal score [3] iii. calculate the median score [3] iv. Use your results above to comment on the shape of the distribution. Give a reason for your answer. [2]

Transcript

00:02 Hello students, according to the given question we have to find mean, median and more values.

00:10 So they have given the data regarding classes and frequencies.

00:15 So class frequency, mid values that is denoted as x and d values is equal to x minus a by h and f into d values and cumulative values.

00:31 Frequency values.

00:34 So given that classes 40 to 44, 45 to 59, 60 to 64, 65 to 64, 65 to 69 and 70 to 74.

00:51 Now the frequencies are 19, 32, 49, 29, and 21.

01:00 So total is 150.

01:03 Here the mid values are here 42, 52, 62, 62, 672.

01:12 Here it is the a value.

01:15 So here the d values are minus 20, minus 10, 0, 5 and 10.

01:22 So by multiplying frequencies and d we get minus 380, minus 320, 0, 145 and 210.

01:35 So the total is minus 345.

01:40 Here the cumulative frequencies are 1951, 100, 129, 150.

01:50 So this is the required table.

01:53 So in the first bit we have to find the mean that is equal to a plus summation fd is divided by n into h.

02:03 So by substituting 62 plus minus 345 is divided by n is the total frequency that is 150 into 1, which is equal to 62 minus 2 .3 which is equal to 59 .7.

02:24 So that mean is equal to 59 .7.

02:30 Now in the second one we have to calculate more that is equal to.

02:35 2, l plus f1 minus f0 is divided by 2f1 minus f2 minus f0 into h.

02:46 So from the above table, f1 means highest frequency that is 49.

02:53 So f0 is the above of f1 that is 32 and f2 is the below of f1 that is 29 and l is the corresponding according frequency 49 class is 60...

Question

Please give Ace some feedback