Data Handling - Averages & Range

1. What is the mode of these numbers: 75, 78, 75, 71, 78, 25, 75, 29?

25

75

78

The mode is the number that appears most frequently in a set of numbers. In this case, the number 75 appears three times, which is more than any other number in the set. Therefore, the mode of these numbers is 75.

Explanation

The mode is the number that appears most frequently in a set of numbers. In this case, the number 75 appears three times, which is more than any other number in the set. Therefore, the mode of these numbers is 75.

2. Asam took 7 maths tests and got scores of 68, 71, 71, 84, 53, 62 and 67. What was Asam's mode score?

63

68

71

The mode is the value that appears most frequently in a set of data. In this case, the score of 71 appears twice, which is more than any other score. Therefore, the mode score for Asam is 71.

Explanation

The mode is the value that appears most frequently in a set of data. In this case, the score of 71 appears twice, which is more than any other score. Therefore, the mode score for Asam is 71.

3. What is the mean average of these numbers: 18, 12, 10, 10, 25?

10

12

15

The mean average is calculated by adding up all the numbers and then dividing the sum by the total number of values. In this case, the sum of the numbers is 18 + 12 + 10 + 10 + 25 = 75. Since there are 5 numbers, the mean average is 75 divided by 5, which equals 15.

Explanation

The mean average is calculated by adding up all the numbers and then dividing the sum by the total number of values. In this case, the sum of the numbers is 18 + 12 + 10 + 10 + 25 = 75. Since there are 5 numbers, the mean average is 75 divided by 5, which equals 15.

4. Five children have heights of 138 cm, 135 cm, 140 cm, 139 cm and 141 cm. What is the range of their heights?

6

7

8

The range of a set of numbers is the difference between the largest and smallest numbers in the set. In this case, the tallest child is 141 cm and the shortest child is 135 cm. The difference between these two heights is 6 cm, which is the range of their heights.

Explanation

The range of a set of numbers is the difference between the largest and smallest numbers in the set. In this case, the tallest child is 141 cm and the shortest child is 135 cm. The difference between these two heights is 6 cm, which is the range of their heights.

5. The temperature in degrees Celsius over 4 days in July was 27, 27, 30 and 32. What was the mean temperature?

27 degrees Celsius

29 degrees Celsius

31 degrees Celsius

The mean temperature is calculated by adding all the temperatures together and dividing by the number of days. In this case, the sum of the temperatures is 27 + 27 + 30 + 32 = 116. Since there are 4 days, the mean temperature is 116/4 = 29 degrees Celsius.

Explanation

The mean temperature is calculated by adding all the temperatures together and dividing by the number of days. In this case, the sum of the temperatures is 27 + 27 + 30 + 32 = 116. Since there are 4 days, the mean temperature is 116/4 = 29 degrees Celsius.

6. What is the range of this group of numbers: 75, 39, 75, 71, 79, 55, 75, 59?

40

71

75

The range of a group of numbers is the difference between the highest and lowest values in the group. In this case, the highest number is 79 and the lowest number is 39. The difference between these two numbers is 40, so the range of this group of numbers is 40.

Explanation

The range of a group of numbers is the difference between the highest and lowest values in the group. In this case, the highest number is 79 and the lowest number is 39. The difference between these two numbers is 40, so the range of this group of numbers is 40.

7. The mean average of three numbers is 8. Two of the numbers are 11 and 7. What is the third number?

6

7

8

Since the mean average of three numbers is 8, we can find the sum of the three numbers by multiplying the average by the total number of numbers. So, 8 multiplied by 3 is 24. We know that two of the numbers are 11 and 7, which sum up to 18. To find the third number, we subtract 18 from 24, resulting in 6. Therefore, the third number is 6.

Explanation

Since the mean average of three numbers is 8, we can find the sum of the three numbers by multiplying the average by the total number of numbers. So, 8 multiplied by 3 is 24. We know that two of the numbers are 11 and 7, which sum up to 18. To find the third number, we subtract 18 from 24, resulting in 6. Therefore, the third number is 6.

8. The cost of five cakes is 28c, 19c, 45c, 45c, 15c. What is the median cost?

28c

15c

45c

The median is the middle value in a set of numbers when they are arranged in ascending or descending order. In this case, when we arrange the costs in ascending order, we get 15c, 19c, 28c, 45c, 45c. The middle value is 28c, so it is the median cost.

Explanation

The median is the middle value in a set of numbers when they are arranged in ascending or descending order. In this case, when we arrange the costs in ascending order, we get 15c, 19c, 28c, 45c, 45c. The middle value is 28c, so it is the median cost.

9. What is the median of these numbers: 2.4, 2.8, 2.3, 2.9, 2.9?

2.3

2.8

2.9

The median is the middle value when the numbers are arranged in ascending order. In this case, when we arrange the numbers in ascending order, we get 2.3, 2.4, 2.8, 2.9, 2.9. The middle value is 2.8, so it is the median.

Explanation

The median is the middle value when the numbers are arranged in ascending order. In this case, when we arrange the numbers in ascending order, we get 2.3, 2.4, 2.8, 2.9, 2.9. The middle value is 2.8, so it is the median.

10. What is the median of these numbers: 10, 3, 6, 10, 4, 8?

6

7

8

The median is the middle value when the numbers are arranged in ascending order. In this case, the numbers arranged in ascending order are 3, 4, 6, 8, 10, 10. Since there are 6 numbers, the middle value would be the average of the 3rd and 4th numbers, which are 6 and 8. The average of 6 and 8 is 7, so 7 is the median of these numbers.

Explanation

The median is the middle value when the numbers are arranged in ascending order. In this case, the numbers arranged in ascending order are 3, 4, 6, 8, 10, 10. Since there are 6 numbers, the middle value would be the average of the 3rd and 4th numbers, which are 6 and 8. The average of 6 and 8 is 7, so 7 is the median of these numbers.