question #3\nwhat is the median score achieved by a student who received the following scores on 10 math…

question #3\nwhat is the median score achieved by a student who received the following scores on 10 math quizzes?\n68 66 70 62 71 58 81 82 63 79\n\n83\n69\n85\n82\n\nquestion #4\nwhich data set has a mean of 59, median of 62, and a mode of 75?\n11 33 22 88 67 54 75 75 62 59 59\n30 90 62 37 75 53 42 48 62 75 75\n42 50 22 19 59 66 62 47 78 74 75\n10 29 33 20 11 55 74 75 75 22 22

question #3\nwhat is the median score achieved by a student who received the following scores on 10 math quizzes?\n68 66 70 62 71 58 81 82 63 79\n\n83\n69\n85\n82\n\nquestion #4\nwhich data set has a mean of 59, median of 62, and a mode of 75?\n11 33 22 88 67 54 75 75 62 59 59\n30 90 62 37 75 53 42 48 62 75 75\n42 50 22 19 59 66 62 47 78 74 75\n10 29 33 20 11 55 74 75 75 22 22

Answer

Explanation:

Step1: Arrange scores in ascending order for Question #3

58, 62, 63, 66, 68, 70, 71, 79, 81, 82

Step2: Calculate median for Question #3

Since there are 10 (an even - numbered) data points, the median is the average of the 5th and 6th ordered values. So, $\frac{68 + 70}{2}=69$

Step3: Check mean, median and mode for Question #4

For the first option of Question #4: Mean: $\frac{11 + 33+22 + 88+67+54+75+75+62+59+59}{11}=\frac{635}{11}\approx57.73$ Median (after arranging in ascending order: 11, 22, 33, 54, 59, 59, 62, 67, 75, 75, 88) is 59 Mode is 59 and 75

For the second option of Question #4: Mean: $\frac{30 + 90+62+37+75+53+42+48+62+75+75}{11}=\frac{659}{11}\approx59.91$ Median (after arranging in ascending order: 30, 37, 42, 48, 53, 62, 62, 75, 75, 75, 90) is 62 Mode is 75

For the third option of Question #4: Mean: $\frac{42+50+22+19+59+66+62+47+78+74+75}{11}=\frac{634}{11}\approx57.64$ Median (after arranging in ascending order: 19, 22, 42, 47, 50, 59, 62, 66, 74, 75, 78) is 59 Mode is 75

For the fourth option of Question #4: Mean: $\frac{10+29+33+20+11+55+74+75+75+22+22}{11}=\frac{426}{11}\approx38.73$ Median (after arranging in ascending order: 10, 11, 20, 22, 22, 29, 33, 55, 74, 75, 75) is 29 Mode is 22 and 75

The second option for Question #4 has a mean of approximately 59, median of 62 and mode of 75

Answer:

Question #3: B. 69 Question #4: B. 30, 90, 62, 37, 75, 53, 42, 48, 62, 75, 75