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The following dotplot represents the number of words in twenty sentences from a book by a certain author, known as "Author B". Author B 0 0 0 0 0 00 0 OOO 0 0000 0 O 10 20 30 40 50 60 70 Sentence length (words) Given that the mean of this dataset is 40 words and the median is 44 words, choose the three options from the list below that are true. Select one or more: Most of the sentence lengths are shorter than the mean value. O Three different data values each occurred exactly twice. Half the data values lie above the mean. O The data values are mostly concentrated above 70 words per sentence. O Three data values occurred exactly three times. The data values are mostly concentrated below 25 words per sentence. 0 No data value occurs exactly three times Half the data values are greater than or equal to the median value.The following dotplots represent the cost (in US dollars) per person per day of 15 sea cruises from European and Caribbean liners. European cruises OOO O DO 0 0 0 000 200 250 300 350 400 Cost per person per day ($) Caribbean cruises O 00 0 0 0600 00 0 0 200 250 300 350 400 Cost per person per day ($) Choose the two options from the list below that are true. Select one or more: The median of the costs of the Caribbean sea cruises is smaller than the median of the costs of the European cruises. O The ranges of the two datasets indicate there is more variation in the costs of European sea cruises than in those of the Caribbean cruises. O The European dataset is less densely packed about its median than the Caribbean dataset. O Overall, the Caribbean sea cruises are more costly than the European cruises. O The range of the costs of the Caribbean sea cruises is smaller than the range of the costs of the European cruises. O The range of the costs of the Caribbean sea cruises is greater than the range of the costs of the European cruises.The following boxplot represents data giving the number of words in twenty sentences from a book by a certain author, known as Author B. Author B 10 20 30 40 50 60 70 Sentence length (words) (Note that the table of summary values has not been included in the boxplot as this question is assessing your understanding of the shape of the boxplot.) Choose the one option from the list below that is true. Select one: The range is smaller than the interquartile range. O The median is smaller than the lower quartile. O The median is closer to the minimum than the maximum. O The median is smaller than the upper quartile.The following boxplots represent the heights, measured to the nearest cm, of 14 women and 13 men. Women's heights 150 155 160 165 170 175 180 185 Height (cm) Men's heights 150 155 160 165 5 170 175 180 185 Height (cm) (Note that the tables of summary values have not been included in these boxplots as this question is assessing your understanding of the shape of the boxplots.) Choose the two options from the list below that are true. Select one or more: The range of the women's heights is greater than the range of the men's heights. The interquartile range of the women's heights is greater than the range of the men's heights. All the women's heights are less than the upper quartile of the men's heights. The median of the women's heights is less than the first quartile of the men's heights. O The median of the women's heights is greater than the median of the men's heights.The following histogram represents data giving 16 estimates for the acceleration due to gravity (9) obtained from an experiment using the free fall method. It was produced using a histogram start value of 9.75 m/s' and an interval of 0.025 m/s?. Free fall 5. Frequency 4 3. 2. 1 9.75 9.8 9.85 9.9 9.95 g (m/s2) Choose the two options from the list below that are true. Select one or more: O There are exactly two intervals in the histogram which contain exactly three data values. Exactly six data values are less than 9.8 m/s?. There are exactly three data values greater than or equal to 9.95 m/s?. The two columns with the highest frequencies together contain a total of eight data values. O The data values are more concentrated above 9.9 m/s? than below this value. O The range of the data values is less than 0.3 m/s?.The following histograms represent the estimates given by 12 eleven-year old boys and 9 eleven-year old girls of how much they would be expected to pay in a comer shop for a particular chocolate bar. Boys' estimates of chocolate bar price Frequency 1 - 20 40 80 100 Estimated price (pence) Girls' estimates of chocolate bar price 3 Frequency 2. 1- 20 40 60 80 100 Estimated price (pence) Choose the two options from the list below that are true. Select one or more: The range of the girls' estimates dataset is greater than the range of the boys' estimates dataset. Both histograms are left-skewed. O The interval with the highest frequency in the boys' estimates dataset contains a greater number of data values than the interval with the highest frequency in the girls' estimates dataset O The histograms are divided into seven intervals for the boys' estimates dataset and five for the girls' estimates dataset. O The histogram of the boys' estimates dataset has a greater number of intervals containing two values than the histogram of the girls' estimates dataset