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Question 4:
A netball Dlaver scored the following number of goals in her 10 most recent games:

15141614151216171615
a. What is her mean score?

150
b. What number of goals does she need to score in the next game for the mean of her scores to be 16 ?

Question 44:\newlineA netball Dlaver scored the following number of goals in her 1010 most recent games:\newline15141614151216171615 15141614151216171615 \newlinea. What is her mean score?\newline150 150 \newlineb. What number of goals does she need to score in the next game for the mean of her scores to be 1616 ?

Full solution

Q. Question 44:\newlineA netball Dlaver scored the following number of goals in her 1010 most recent games:\newline15141614151216171615 15141614151216171615 \newlinea. What is her mean score?\newline150 150 \newlineb. What number of goals does she need to score in the next game for the mean of her scores to be 1616 ?
  1. Calculate Total Goals: First, let's add up all the goals scored in the 1010 games to find the total number of goals.15+14+16+14+15+12+16+17+16+15=15015 + 14 + 16 + 14 + 15 + 12 + 16 + 17 + 16 + 15 = 150
  2. Find Mean Score: Now, we divide the total number of goals by the number of games to find the mean score. 150÷10=15150 \div 10 = 15
  3. Calculate Goals Needed: To find out how many goals she needs to score in the next game to have a mean of 1616, we first calculate the total goals she would need after 1111 games.\newline1616 (mean score) ×11\times 11 (games) =176= 176
  4. Determine Next Game Goals: Then we subtract the total goals she has already scored from the new total needed.\newline176150=26176 - 150 = 26\newlineSo, she needs to score 2626 goals in the next game to have a mean of 1616.

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