Mean - 3

Old mean = 35
New mean = 35 + 21 = 56
So, the mean increases.

Mean is calculated by summing all values and dividing by the count. Sum = 157.5 + 152.5 + 165.7 + 151.3 + 160.6 + 156.4 = 944.0. Mean = 944.0 ÷ 6 = 157.3 (rounded to one decimal place).

Total value of all 5 items = mean × number of items = £7 × 5 = £35. Sum of first four items = £6.50 + £8 + £5.50 + £6 = £26. Therefore, fifth item = £35 - £26 = £9.

The first 10 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Their sum = 45. Mean = 45 ÷ 10 = 4.5. Remember that whole numbers start from 0, not 1.

Sum of all 5 quantities = 5 × 6 = 30. Sum of 3 quantities = 3 × 8 = 24. Sum of remaining 2 quantities = 30 - 24 = 6. Average of remaining 2 = 6 ÷ 2 = 3.

The mode is defined as the value that occurs most frequently. In this data set (7, 5, 56, 89, 75, 45), every number appears exactly once. Since no value repeats, there is no mode.

Range = maximum value - minimum value. From the data set 2, 15, 3, 3, 25, 17, the maximum is 25 and minimum is 2. Range = 25 - 2 = 23.

Range is calculated as maximum minus minimum. From the data 8, 9, 6, 4, 9, 9, 9, 15, 5, 4, we have maximum = 15 and minimum = 4. Range = 15 - 4 = 11.

Range is the difference between maximum and minimum values. Maximum = 10, minimum = 3, so range = 10 - 3 = 7. This measures how spread out the data is.

Mean = sum of all values divided by count. Sum = 11+13+15+9+11+21+11 = 91. Count = 7. Mean = 91 ÷ 7 = 13. Option A is correct.

Mean = sum ÷ count. Sum = 22+25+29+22+25+25+22+38 = 208. Count = 8. Mean = 208 ÷ 8 = 26. Option B is correct.

Median is the middle value when data is arranged in order. Sorted: 1, 2, 5, 7, 9, 12, 15, 20, 33, 55, 56. With 11 values, the 6th value (12) is the median.

Mean = total eggs sold ÷ number of days. Total = 11+9+9+11+11+8+9+20 = 88. Days = 8. Mean = 88 ÷ 8 = 11 eggs per day. Option A is correct.

The median is the middle value when data is arranged in order. Sorted values: 6, 8, 9, 18, 24. With 5 values, the median is the 3rd value, which is 9.

Range is the difference between the maximum and minimum values. Maximum = 12, Minimum = 3. Range = 12 - 3 = 9.

Mode = 10, as 10 is the most common value, repeating 3 times.

If the mean of 5 values is 21, then total sum = 21 × 5 = 105. Sum of four given values = 12 + 29 + 32 + 18 = 91. Fifth value = 105 - 91 = 14.

Mean = Sum of values / Count. Sum = 28 + 14 + 39 + 42 + 27 = 150. Count = 5. Mean = 150/5 = 30.

To achieve average 44 across 5 tests, total needed = 44 × 5 = 220. Current sum = 49 + 48 + 42 + 39 = 178. Required score = 220 - 178 = 42.

For data 221, 118, 141, 389, 260, 480, 291, 460, 260, 227, 290, 302, 347, 260: Mean = 4046/14 = 289, Median = (275+275)/2 = 275, Mode = 260 (appears 3 times), Range = 480-118 = 362. Option C matches these calculations.

Range = Highest - Lowest
= 35 - 15 = 20

John: 28+21+16+29+27 = 121 points. Alex: 25+26+24+19+20 = 114 points. Brejan: 18+16+29+30+24 = 117 points. Rhyme: 8+21+25+23+26 = 103 points. John has the highest total (121). The claimed answer A (John) is correct, though option C says 'Bryan' while the table says 'Brejan' - a naming inconsistency.

To find December values, set up equations using the average formula. For Team A: (20+15+16+18+21+30+22+7+19+12+11+x)/12 = 17, which gives x = 13. For Team B: (10+12+15+21+16+31+26+29+23+25+18+y)/12 = 19, which gives y = 2. Option B correctly shows both values.