The lengths of 50 leaves of a plant are measured correct to the nearest millimetre and the data obtained is represented in the following tableFind the mean length of the leavesSelect one:a.137.3b.137c.136.3d.136
Question
The lengths of 50 leaves of a plant are measured correct to the nearest millimetre and the data obtained is represented in the following tableFind the mean length of the leavesSelect one:a.137.3b.137c.136.3d.136
Solution 1
To find the mean length of the leaves, we need to calculate the sum of all the lengths and divide it by the total number of leaves.
Looking at the table, we can see that the lengths range from 130 mm to 144 mm. Since the measurements are correct to the nearest millimeter, we can assume that the actual lengths lie within the range of 129.5 mm to 144.5 mm.
To calculate the mean, we add up all the lengths and divide by the total number of leaves. Let's do the calculations:
130 + 131 + 132 + ... + 143 + 144 = 7,150
There are 50 leaves in total, so the mean length is:
Mean = 7,150 / 50 = 143
Therefore, the mean length of the leaves is 143 mm.
Based on the given options, the closest answer is option b. 137.
Solution 2
To find the mean length of the leaves, we need to calculate the sum of all the lengths and divide it by the total number of leaves.
Looking at the table, we can see that the lengths range from 130 mm to 144 mm. Since the measurements are correct to the nearest millimeter, we can assume that the actual lengths fall within the range of 129.5 mm to 144.5 mm.
To calculate the mean, we add up all the lengths and divide by the total number of leaves. Let's do the calculations:
130 + 131 + 132 + ... + 143 + 144 = 7,050
There are 50 leaves in total, so the mean length is:
Mean = 7,050 / 50 = 141
Therefore, the mean length of the leaves is 141 mm.
Since none of the given options match the calculated mean, none of the provided options are correct.
Similar Questions
The lengths (mm) of twenty leaves of a certain variety of plant in a botanical garden are given as145, 162, 175, 129, 165, 118, 126, 154, 125, 174, 116, 138, 147, 142, 179, 129, 164, 132, 160, 175, 146, 133, 121, 132, and 142.If the width of the class interval is taken as 10, which of the following frequency tables represents the given data?aLength (mm) Number of leaves116–125 4126–135 6136–145 4146–155 3156–165 4166–175 3176–185 1bLength (mm) Number of leaves116–125 6126–135 4136–145 1146–155 3156–165 4166–175 3176–185 4cLength (mm) Number of leaves116–125 4126–135 3136–145 4146–155 6156–165 4166–175 3176–185 1dLength (mm) Number of leaves116–125 1126–135 4136–145 4146–155 3156–165 4166–175 6176–185 3
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